What is (sqrt(360))/(sqrt(8)) ?

The solution to (sqrt(360))/(sqrt(8)) is 3sqrt(5)

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simplify (sqrt(360))/(sqrt(8))

simplify

\frac{360}{8}

35

Decimal Notation

6.70820 \dots

Solution steps

\frac{360}{8}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

\frac{360}{8} = \frac{360}{8}

= \frac{360}{8}

Divide the numbers:

\frac{360}{8} = 45

= 45

Prime factorization of

45 : 3^{2} \cdot 5

= 3^{2} \cdot 5

Apply radical rule:

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

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

= 3^{2} 5

Apply radical rule:

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

3^{2} = 3

= 35

- 9 x^{3} - 12 x

\frac{9.001 - 9}{9.001 - 3}

\frac{1}{9} - \frac{1}{25}

\frac{62}{3}

(2 x + 2) (2 x + 2)

What is (sqrt(360))/(sqrt(8)) ?
The solution to (sqrt(360))/(sqrt(8)) is 3sqrt(5)