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Popular >

simplify \sqrt[3]{sqrt(49)}

Solution

simplify

Solution

+1

Decimal Notation

1.91293 \dots

Solution steps

Apply radical rule:

= (4 9^{\frac{1}{2}})^{\frac{1}{3}}

Apply exponent rule:

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

= 4 9^{\frac{1}{2} \cdot \frac{1}{3}}

\frac{1}{2} \cdot \frac{1}{3} = \frac{1}{6}

= 4 9^{\frac{1}{6}}

Factor the number:

49 = 7^{2}

Apply exponent rule:

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

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{sqrt(49)} ?
The solution to \sqrt[3]{sqrt(49)} is cube root of 7