## College Algebra (6th Edition)

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