What is (sqrt(162))/(sqrt(9)) ?

The solution to (sqrt(162))/(sqrt(9)) is 3sqrt(2)

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simplify (sqrt(162))/(sqrt(9))

simplify

\frac{162}{9}

32

Decimal

4.24264 \dots

Solution steps

\frac{162}{9}

Apply radical rule:

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

\frac{162}{9} = \frac{162}{9}

= \frac{162}{9}

Divide the numbers:

\frac{162}{9} = 18

= 18

Prime factorization of

18 : 2 \cdot 3^{2}

= 2 \cdot 3^{2}

Apply radical rule:

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

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

= 2 3^{2}

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 3

= 32

3 (- 7 - 8 n)

8 (6 r + 6 s)

12 + x - x^{2}

\frac{3 sin ( 4 x )}{sin ( 3 x )}

3 8 x^{2}

What is (sqrt(162))/(sqrt(9)) ?
The solution to (sqrt(162))/(sqrt(9)) is 3sqrt(2)