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Popular >

simplify sqrt((1/2)^{1/2)}

Solution

simplify

(\frac{1}{2})^{\frac{1}{2}}

Solution

\frac{1}{2 ^{\frac{1}{4}}}

+1

Decimal Notation

0.84089 \dots

Solution steps

(\frac{1}{2})^{\frac{1}{2}}

Apply radical rule:

(\frac{1}{2})^{\frac{1}{2}} = (\frac{1}{2})^{\frac{\frac{1}{2}}{2}}

= (\frac{1}{2})^{\frac{\frac{1}{2}}{2}}

\frac{\frac{1}{2}}{2} = \frac{1}{4}

= (\frac{1}{2})^{\frac{1}{4}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{1 ^{\frac{1}{4}}}{2 ^{\frac{1}{4}}}

Apply rule

1^{a} = 1

1^{\frac{1}{4}} = 1

= \frac{1}{2 ^{\frac{1}{4}}}

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Frequently Asked Questions (FAQ)

What is sqrt((1/2)^{1/2)} ?
The solution to sqrt((1/2)^{1/2)} is 1/(2^{1/4)}