Answer
False.
$\sqrt 7 \times \sqrt 7 = \sqrt 49 = 7$
Work Step by Step
$\sqrt 7 \times \sqrt 7 = \sqrt (7 \times 7)$
$ = \sqrt 49 = 7$
or
Rational exponents properties are the same as the properties
for integer exponents.
$a^{m} \times a^{n} = a^{m + n}$. So,
$\sqrt 7 \times \sqrt 7 = $
$7^{1/2} \times7^{1/2} = 7^{(1/2) +(1/2)} = 7^{1} = 7$.
