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# Simplifying

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I am in 9th grade and i need some help with my Math Test. The info in this book is kinda vague. How do you simplify the following problems?

Simplify the expression: 88 under Sq. Root symbol
Simplify the expression: 30 under Sq. Root symbol
Simplify the expression: 108 under Sq. Root symbol
Simplify the expression: 4/9 uner Sq. Root symbol (Four/Ninths)
Simplify the expression: 100/49 under Sq. Root symbol (One Hundred/ Forty-ninths)
Simplify the expression: 5/36 under Sq. Root symbol (Five/Thirty-sixths)

These are simplifying, not finding Sq. Roots.

Thanks
Guest Apr 9, 2012
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Whoops... i am so stupid. Those #s in parentheses aren't Four/Ninths, One Hundred/Forty-ninths, or Five/Thirty-sixths.

They are 4 divided by 9, 100 divided by 49, and 5 divided by 36.

how do you simplify these, and the others i mentioned in the last post?
Guest Apr 9, 2012
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sqrt( a * b ) = sqrt( a ) * sqrt( b )

now you have to "smart split" the number "under Sq. Root symbol".
Guest:

Simplify the expression: 88 under Sq. Root symbol

88 = 4 * 22
sqrt( 88 ) = sqrt( 4 ) * sqrt( 22 ) = 2 * sqrt( 22 )

sqrt( 108 ) = 6 * sqrt(3)

sqrt( a / b ) = sqrt( a ) / sqrt( b )
Guest:

4/9 uner Sq. Root symbol (Four/Ninths)

sqrt(4/9) = sqrt( 4 ) / sqrt( 9 ) = 2 / 3
sqrt( 100/49 )= 10/7
sqrt( 5/36 )= sqrt(5)/6