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Popular >

simplify sqrt(4^{(1/2)^2)}

Solution

simplify

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

Solution

+1

Decimal Notation

1.18920 \dots

Solution steps

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

Apply radical rule:

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

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

Apply exponent rule:

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

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

(\frac{1}{2})^{2} \frac{1}{2} = \frac{1}{8}

= 4^{\frac{1}{8}}

Factor the number:

4 = 2^{2}

Apply exponent rule:

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

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Frequently Asked Questions (FAQ)

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