What is 1/3 sqrt(\sqrt{3600)} ?

The solution to 1/3 sqrt(\sqrt{3600)} is 2/3 sqrt(15)

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simplify 1/3 sqrt(\sqrt{3600)}

simplify

\frac{1}{3} 3600

\frac{2}{3} 15

Decimal Notation

2.58198 \dots

Solution steps

\frac{1}{3} 3600

3600 = 60

= \frac{1}{3} 60

Prime factorization of

60 : 2^{2} \cdot 3 \cdot 5

= \frac{1}{3} 2^{2} \cdot 3 \cdot 5

Apply radical rule:

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

2^{2} \cdot 3 \cdot 5 = 2^{2} 3 \cdot 5

= \frac{1}{3} 2^{2} 3 \cdot 5

Apply radical rule:

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

2^{2} = 2

= \frac{1}{3} \cdot 2 3 \cdot 5

Multiply the numbers:

3 \cdot 5 = 15

= \frac{1}{3} \cdot 215

\frac{1}{3} \cdot 215 = \frac{2}{3} 15

= \frac{2}{3} 15

4 2^{3}

6 x^{4} y^{4} (8 x^{3} y^{2})

x x + 1

325 e^{- 0.95}

What is 1/3 sqrt(\sqrt{3600)} ?
The solution to 1/3 sqrt(\sqrt{3600)} is 2/3 sqrt(15)