What is (sqrt(500))/(sqrt(10)) ?

The solution to (sqrt(500))/(sqrt(10)) is 5sqrt(2)

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simplify (sqrt(500))/(sqrt(10))

simplify

\frac{500}{10}

52

Decimal Notation

7.07106 \dots

Solution steps

\frac{500}{10}

Apply radical rule:

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

\frac{500}{10} = \frac{500}{10}

= \frac{500}{10}

Divide the numbers:

\frac{500}{10} = 50

= 50

Prime factorization of

50 : 2 \cdot 5^{2}

= 2 \cdot 5^{2}

Apply radical rule:

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

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

= 2 5^{2}

Apply radical rule:

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

5^{2} = 5

= 2 \cdot 5

= 52

\frac{- 22 m ^{10}}{2 m ^{3}}

- 4 x^{2} y^{3} (- 2 x^{m} y^{n})

\frac{2 ^{4}}{2}

\frac{3}{5} + \frac{6}{7}

5 + \frac{2}{5}

What is (sqrt(500))/(sqrt(10)) ?
The solution to (sqrt(500))/(sqrt(10)) is 5sqrt(2)