Simplify by using radical. rationalize denominators.

Ответ:

weirdoal567

15.03.2022

$\frac{2\sqrt a}{a}$

Step-by-step explanation:

The given equation is $2a^{-1/2}$

The exponent rule: $x^{-a}=\frac{1}{x^a}$

Using this rule, we get

$2a^{-1/2}\\\\=\frac{2}{a^1/2}$

We can rewrite this in radical form as

$\frac{2}{\sqrt a}$

Rationalize the denominator by multiplying numerator and denominator by $\sqrt a$

$\frac{2}{\sqrt a}\cdot \frac{\sqrt a}{\sqrt a}$

On simplifying

$\frac{2\sqrt a}{a}$

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