What is 6/(sqrt(90)) ?

The solution to 6/(sqrt(90)) is (sqrt(2))/(sqrt(5))

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simplify 6/(sqrt(90))

simplify

\frac{6}{90}

\frac{2}{5}

Decimal Notation

0.63245 \dots

Solution steps

\frac{6}{90}

Factor the number:

6 = 3 \cdot 2

= \frac{3 \cdot 2}{90}

Factor

90 : 310

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

Cancel the common factor:

3

= \frac{2}{10}

Factor

10 : 25

= \frac{2}{2 5}

Apply radical rule:

a = a a

2 = 22

= \frac{2 2}{2 5}

Cancel the common factor:

2

= \frac{2}{5}

48 \times 4

tan^{- 1} (x)

(2 x - 5) (2 x - 3)

(3 x - 2)^{5}

64 \times 5