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Popular >

simplify sqrt(2^{-1)}

Solution

simplify

2^{- 1}

Solution

\frac{1}{2}

+1

Decimal Notation

0.70710 \dots

Solution steps

2^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

2^{- 1} = \frac{1}{2}

= \frac{1}{2}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

= \frac{1}{2}

Apply radical rule:

1 = 1

1 = 1

= \frac{1}{2}

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Frequently Asked Questions (FAQ)

What is sqrt(2^{-1)} ?
The solution to sqrt(2^{-1)} is 1/(sqrt(2))