What is simplify sqrt(\sqrt{2916)} ?

The solution to simplify sqrt(\sqrt{2916)} is 3sqrt(6)

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Calculate the Square Root square root of 2916

simplify

2916

36

Solution steps

2916

2916 = 54

= 54

Prime factorization of

54 : 2 \cdot 3^{3}

= 2 \cdot 3^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

2 \cdot 3^{3} = 2 \cdot 3^{2} \cdot 3

= 2 \cdot 3^{2} \cdot 3

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

2 \cdot 3^{2} \cdot 3 = 3^{2} 2 \cdot 3

= 3^{2} 2 \cdot 3

Apply radical rule:

a^{2} = a, a \geq 0

3^{2} = 3

= 3 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 36

96/32

15 x^{4}

x, - 15 + x = - 9

- 0.03 \cdot (- 10)

0.06%

What is simplify sqrt(\sqrt{2916)} ?
The solution to simplify sqrt(\sqrt{2916)} is 3sqrt(6)