What is 1/(sqrt(90)) ?

The solution to 1/(sqrt(90)) is 1/(3sqrt(10))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/(sqrt(90))

simplify

\frac{1}{90}

\frac{1}{3 10}

Decimal Notation

0.10540 \dots

Solution steps

\frac{1}{90}

Prime factorization of

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

= \frac{1}{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{1}{3 ^{2} 2 \cdot 5}

Apply radical rule:

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

3^{2} = 3

= \frac{1}{3 2 \cdot 5}

Multiply the numbers:

2 \cdot 5 = 10

= \frac{1}{3 10}

20 n^{2} + 44 n - 15

\frac{5}{6} \cdot 30

\frac{- 12}{5}

x^{2} + 2 (x + y)

\frac{2}{3 + 2 ^{- 3}}