Question

what Subsets does √96 belong to?

Answer 1

Step-by-step explanation:

square root of 96

we can write this as √(96)

first we divide 96 in small numbers :

96 = 3 * 32 = 3 * 2 * 16 = 3 * 2 * 2 * 8 = 3 * 2 * 2 * 2 * 4 = 3 * 2 * 2 * 2 * 2 * 2

So , In short

96 = 3 * 2^5

Now we give square root to it :

√( 96 ) = √ ( 3 * 2^5 ) = √ ( 3 ) * √ ( 2 ) * √ ( 2 ^ 4 )

So, √( 96 ) = √ ( 3 * 2 ) * √ ( 2 ^ 4 )

Now you can write answer of √ ( 96 ) as many way as you want .

√ ( 96 ) = √ ( 3 * 2 ) * √ ( 2 ^ 4 ) ,

√ ( 96 ) = √ ( 6 ) * √ ( 4 ^ 2 ) ,

( We can write 4 ^ 2 = 16 in place of 2 ^ 4 = 16 ) ,

So, Final answer is √ ( 96 ) = 4 √(6)

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