Question

Simplify: $7^{\frac{1}{2}}\times 8^{\frac{1}{2}}$.

Answer 1

Simplify $7^{\frac{1}{2}}\times 8^{\frac{1}{2}}$

Simplify using properties of exponents and power:

$\begin{array}{c}{7}^{\frac{1}{2}}\times 8^{\frac{1}{2}}={(7\times 8)}^{\frac{1}{2}}\\ =2{\left(14\right)}^{\frac{1}{2}}\end{array}$

Hence, the value of the given expression is $7^{\frac{1}{2}}\times 8^{\frac{1}{2}}=2.{\left(14\right)}^{\frac{1}{2}}$