What is (3sqrt(2))/(6sqrt(10)) ?

The solution to (3sqrt(2))/(6sqrt(10)) is 1/(2sqrt(5))

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simplify (3sqrt(2))/(6sqrt(10))

simplify

\frac{3 2}{6 10}

\frac{1}{2 5}

Decimal Notation

0.22360 \dots

Solution steps

\frac{3 2}{6 10}

Factor the number:

6 = 3 \cdot 2

= \frac{3 2}{3 \cdot 2 10}

Cancel the common factor:

3

= \frac{2}{2 10}

Apply radical rule:

a = a a

2 = 22

= \frac{2}{2 2 10}

Cancel the common factor:

2

= \frac{1}{2 10}

210 = 25

= \frac{1}{2 5}

32 \cdot \frac{3}{4}

- 12 x + 5 x

- (- 5 x)^{0}

1 - (- \frac{3}{5})^{2}

3 \cdot 5 x

What is (3sqrt(2))/(6sqrt(10)) ?
The solution to (3sqrt(2))/(6sqrt(10)) is 1/(2sqrt(5))