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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

Solution steps

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

Apply rule:

(a) = a

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

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

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

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

Apply exponent rule:

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

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

Apply rule

1^{a} = 1

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

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

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

= \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)}