What is 7/(sqrt(90)) ?

The solution to 7/(sqrt(90)) is 7/(3sqrt(10))

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simplify 7/(sqrt(90))

simplify

\frac{7}{90}

\frac{7}{3 10}

Decimal Notation

0.73786 \dots

Solution steps

\frac{7}{90}

Prime factorization of

90 : 2 \cdot 3^{2} \cdot 5

= \frac{7}{2 \cdot 3 ^{2} \cdot 5}

Apply radical rule:

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

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

= \frac{7}{3 ^{2} 2 \cdot 5}

Apply radical rule:

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

3^{2} = 3

= \frac{7}{3 2 \cdot 5}

Multiply the numbers:

2 \cdot 5 = 10

= \frac{7}{3 10}

\frac{7}{5} - 2

\frac{1}{10} \cdot 100

π - \frac{22}{7}

4 x y + x + 2 x y

(3) (- 5)