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Popular >

simplify sqrt(\sqrt{46)}

Solution

simplify

46

Solution

446

+1

Decimal

2.60429 \dots

Solution steps

46

Apply radical rule:

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

= (4 6^{\frac{1}{2}})^{\frac{1}{2}}

Apply exponent rule:

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

= 4 6^{\frac{1}{2} \cdot \frac{1}{2}}

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

= 4 6^{\frac{1}{4}}

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

= 446

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Frequently Asked Questions (FAQ)

What is sqrt(\sqrt{46)} ?
The solution to sqrt(\sqrt{46)} is \sqrt[4]{46}