# How do you simplify 4^(1/2)+9^(-1/2)?

Dec 18, 2016

$2 \text{1/3""or} \frac{7}{3}$

#### Explanation:

from the rules of indices we have

${x}^{\frac{1}{2}} = \sqrt{x} . \text{ } {x}^{- \frac{1}{2}} = \frac{1}{\sqrt{x}}$

${4}^{\frac{1}{2}} + {9}^{- \frac{1}{2}} = \sqrt{4} + \frac{1}{\sqrt{9}}$

$= 2 + \frac{1}{3}$

=2""1/3=7/3