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A math question

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
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A math question

by Faisal_903 » Sun Jul 13, 2008 6:00 pm
Hi all,

Sometimes a see a square rooted number simplified into a number multiplied with a square rooted number. For example:

Image

Can you please explain how to simplify such square rooted numbers?

Thank you all ...
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by czechchamp » Mon Jul 14, 2008 5:38 am
I think the first problem you posted is solved incorrectly.
1.
sq root of 125 = square root of (25 x 5)
sq root of 125 = 5 x sq root of 5

2.
sq root of 75 = sq root of (25 x 3)
sq root of 75 = 5 x sq root of 3

Hope this helps
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by asigheartau » Mon Jul 14, 2008 6:18 am
if you need to simplify the square roots, try to do so by dividing them into prime factors.

Hence,

sqrt 125 :sqrt 5
sqrt 25 :sqrt 5
dqrt. 5 :sqrt 5

thus, Square Root of 125= (Sqrt 5 X Sqrt 5) X (Sqrt 5)

I only put the paranthesis to make you see it easier that Sqrt 5 X Sqrt5=5

The result of the simplification would therefore be 5sqrt5
Alin Sigheartau
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by Faisal_903 » Mon Jul 14, 2008 10:01 am
Thank you all .. I understood how to simplify square roots

I appreciate your help!
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