What is 6/(sqrt(10)) ?

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

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simplify 6/(sqrt(10))

simplify

\frac{6}{10}

\frac{3 2}{5}

Decimal Notation

1.89736 \dots

Solution steps

\frac{6}{10}

Factor the number:

6 = 2 \cdot 3

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

Factor

10 : 25

= \frac{2 \cdot 3}{2 5}

Apply radical rule:

a = a a

2 = 22

= \frac{2 2 \cdot 3}{2 5}

Cancel the common factor:

2

= \frac{2 \cdot 3}{5}

= \frac{3 2}{5}

x \cdot x^{- \frac{1}{2}}

15 - (\frac{12}{4})^{2}

\frac{- 3 x}{5} + \frac{x}{8} = \frac{1}{4}

4 x^{2} - 5 x - 6 = 0

3^{2} = x