How do you simplify #sqrt(32)sqrt(32)#?
By definition, the square root of a number is the value which, when multiplied by itself, produces that number. That is,
Thus, by the definition of a square root,
Another way of writing
which is the exponent form of that expression.
By the law of exponents,
(Remember, the bases has to be the same number for this formula to work.)
Since the exponents of 32 in this problem is
So the simplified form is