What is simplify sqrt(\sqrt{1521)} ?

The solution to simplify sqrt(\sqrt{1521)} is square root of 39

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Calculate the Square Root square root of 1521

simplify

1521

39

Decimal

6.24499 \dots

Solution steps

1521

Apply radical rule:

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

= (152 1^{\frac{1}{2}})^{\frac{1}{2}}

Apply exponent rule:

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

= 152 1^{\frac{1}{2} \cdot \frac{1}{2}}

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

= 152 1^{\frac{1}{4}}

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

= 41521

Factor the number:

1521 = 3 9^{2}

= 4 3 9^{2}

Apply exponent rule:

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

4 3 9^{2} = 3 9^{2 \cdot \frac{1}{4}} = 39

= 39

8/8

\frac{120}{( 3 )}

x, - 8 < x - 14

0/6

(0.1)^{5}

What is simplify sqrt(\sqrt{1521)} ?
The solution to simplify sqrt(\sqrt{1521)} is square root of 39