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When sqrt(112) is simplified, the result is a*sqrt(b), where a is an integer, and b is a positive integer. If b is as small as possible, then what is a + b?

 Jun 3, 2021
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112  =   28 * 4   =    7 * 4 * 4   =  16 * 7

 

So

 

sqrt (112)  =   sqrt (16)  * sqrt (7)  =   4 sqrt (7)

 

a +  b   =   11

 

 

cool cool cool

 Jun 3, 2021

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