What is (sqrt(2160))/(sqrt(10)) ?

The solution to (sqrt(2160))/(sqrt(10)) is 6sqrt(6)

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Popular >

simplify (sqrt(2160))/(sqrt(10))

simplify

\frac{2160}{10}

66

Decimal Notation

14.69693 \dots

Solution steps

\frac{2160}{10}

Apply radical rule:

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

\frac{2160}{10} = \frac{2160}{10}

= \frac{2160}{10}

Divide the numbers:

\frac{2160}{10} = 216

= 216

Prime factorization of

216 : 2^{3} \cdot 3^{3}

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

Apply exponent rule:

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

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

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

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

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

Apply radical rule:

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

2^{2} = 2

= 2 3^{2} 2 \cdot 3

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 3 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 66

(- 10) (11)

4 x - 5 x

(\frac{k}{5})^{3}

- 6 x - 6

- 9 + 11

What is (sqrt(2160))/(sqrt(10)) ?
The solution to (sqrt(2160))/(sqrt(10)) is 6sqrt(6)