How do you simplify sqrt(32)sqrt(32)?

2 Answers
sente
Feb 13, 2016

sqrt(32)sqrt(32)=(sqrt(32))^2=32

Explanation:

By definition, the square root of a number is the value which, when multiplied by itself, produces that number. That is, (sqrt(x))^2 = x for all x.

Thus, by the definition of a square root, sqrt(32)sqrt(32)=(sqrt(32))^2=32

Nile River
Feb 13, 2016

32

Explanation:

Another way of writing sqrt32sqrt32 is

32^(1/2)32^(1/2)

which is the exponent form of that expression.

By the law of exponents, x^ax^b= x^(a+ b) where x is the base.

(Remember, the bases has to be the same number for this formula to work.)

Since the exponents of 32 in this problem is 1/2 for both of them, just add them together to find the exponent when you combine the bases together.

1/2+ 1/2= 1.

So the simplified form is 32^1 and any base with an exponent of one is equal to the base itself.

32^1= 32.

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