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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,413

Hi bobbym,

The solutions #4833 and #4834 are correct. Marvelous!

#4835.

#4836. If

, then find the value of a and b.Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,379

Hi;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,413

Hi bobbym,

The solution #4835 is perfect. Excellent!

#4837. Simplify:

.Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,379

Hi;

For #4836 I added a and b for some reason.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,413

Hi bobbym,

The solution #4837 is correct. Excellent!

#4838.

#4839.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,379

Hi;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

**Online**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,413

Hi bobbym,

The solutions #4838 and #4839 are correct. Fantastic performance!

#4840.

#4841.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,379

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,413

Hi bobbym,

The solutions #4840 and #4841 are correct. Fantastic performance!

#4842.

#4843.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,379

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,413

Hi bobbym,

The solutions #4842 and #4843 are correct. Brilliant!

#4844. Find the greatest four digit perfect square number.

#4845. Given

, then what is the value of ?Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,379

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,413

Hi bobbym,

The solutions #4844 and #4845 are correct. Excellent!

#4846. If

, then find the value of .#447.

Character is who you are when no one is looking.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

Hi ganesh

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,379

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,413

Hi anonimnystefy and bobbym,

The solutions #4946 and #4947 are corret. Marvelous, anonimnystefy and bobbym!

#4948. Find the smallest number by which 5808 should be multiplied so that the product becomes a perfect square..

#4949. Find the least by which 1470 must be divided to get a number which is a perfect square.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,379

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,413

Hi bobbym,

The solutions #4948 and #4949 are correct. Neat job!

#4950. Find the largest four-digit number which is a perfect cube.

#4951. By what least number 675 be multiplied to obtain a number which is a perfect cube?

Character is who you are when no one is looking.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,413

Hi bobbym,

You have missed the problems #4950 and #4951!

#4952.

.Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,379

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,413

Hi bobbym,

The solutions #4950, #4951 and #4952 are correct. Splendid!

#4953. What is the smallest number to be subtracted from 549162 in order to make it a perfect square?

#4954. What is the smallest number added to 680621 to make the sum a perfect square?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,379

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,413

Hi bobbym,

The solutions #4953 and #4954 are correct. Marvelous!

#4955. If

and , find the value of .#4956. If

and , then find the value of .Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,379

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,413

Hi bobbym,

The solutions #4955 and #4956 are correct. Fantastic!

#4957.

#4958. Find the **square root** of

Character is who you are when no one is looking.

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