# Simplifying Square roots.

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• March 4th 2011, 10:21 AM
isuckatallmath
Simplifying Square roots.
Please explain how..

http://littleimg.com/files/48220_o6nuh/help.gif

I understand the sqrt of 49 is 7 so you take that out, but where the heck did the sqrt 1/2 in the numerator and 5 in the denominator come from?
• March 4th 2011, 10:36 AM
earboth
Quote:

Originally Posted by isuckatallmath
Please explain how..

http://littleimg.com/files/48220_o6nuh/help.gif

I understand the sqrt of 49 is 7 so you take that out, but where the heck did the sqrt 1/2 in the numerator and 5 in the denominator come from?

Factorize the rdicand:

$\sqrt{\dfrac{49}{50}}= \sqrt{\dfrac{49}{25\cdot 2}}= \sqrt{\dfrac{49\cdot \frac12}{25}}$

Calculate the square-root of 49 and 25.
• March 4th 2011, 10:45 AM
isuckatallmath
I forgot that I could break up the 50 to 25x2. Thank you