What is (2sqrt(10))/(5sqrt(2)) ?

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

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simplify (2sqrt(10))/(5sqrt(2))

simplify

\frac{2 10}{5 2}

\frac{2}{5}

Solution steps

\frac{2 10}{5 2}

Apply radical rule:

a = a a

2 = 22

= \frac{2 2 10}{5 2}

Cancel the common factor:

2

= \frac{2 10}{5}

Factor

10 : 52

= \frac{2 5 2}{5}

Apply radical rule:

a = a a

5 = 55

= \frac{2 5 2}{5 5}

Cancel the common factor:

5

= \frac{2 2}{5}

Apply radical rule:

a a = a, a \geq 0

22 = 2

= \frac{2}{5}

(- 5) + (- 5)

\frac{1}{12} - \frac{1}{4}

5 (32) (243)

(\frac{2}{3}) (\frac{3}{5})

(x + 7) (x - 10)

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