What is 1/3*sqrt(18) ?

The solution to 1/3*sqrt(18) is square root of 2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/3*sqrt(18)

simplify

\frac{1}{3} \cdot 18

2

Decimal Notation

1.41421 \dots

Solution steps

\frac{1}{3} 18

Prime factorization of

18 : 2 \cdot 3^{2}

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

Apply radical rule:

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

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

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

Apply radical rule:

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

3^{2} = 3

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

Convert

3

to fraction

: \frac{3}{1}

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

Cross-cancel common factor:

3

= 1 \cdot 2

Apply rule:

1 \cdot a = a

= 2

\frac{12 x ^{5} y ^{3}}{4 x ^{2} y ^{2}}

\frac{x ^{5} - y ^{5}}{x - y}

2 - 75

6 \cdot 1 0^{5}

\frac{12 a ^{2} - 21 a}{12 a ^{2} - 28 a}