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Popular >

simplify sqrt(\sqrt{169)}

Solution

simplify

169

Solution

13

+1

Decimal Notation

3.60555 \dots

Solution steps

169

Apply radical rule:

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

= (16 9^{\frac{1}{2}})^{\frac{1}{2}}

Apply exponent rule:

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

= 16 9^{\frac{1}{2} \cdot \frac{1}{2}}

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

= 16 9^{\frac{1}{4}}

Factor the number:

169 = 1 3^{2}

Apply exponent rule:

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

= 13

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Frequently Asked Questions (FAQ)

What is sqrt(\sqrt{169)} ?
The solution to sqrt(\sqrt{169)} is square root of 13