What is 1/2 sqrt(180) ?

The solution to 1/2 sqrt(180) is 3sqrt(5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/2 sqrt(180)

simplify

\frac{1}{2} 180

35

Decimal Notation

6.70820 \dots

Solution steps

\frac{1}{2} 180

Prime factorization of

180 : 2^{2} \cdot 3^{2} \cdot 5

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

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

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

Apply radical rule:

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

2^{2} = 2

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

Apply radical rule:

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

3^{2} = 3

= \frac{1}{2} \cdot 2 \cdot 35

Multiply the numbers:

2 \cdot 3 = 6

= \frac{1}{2} \cdot 65

\frac{1}{2} \cdot 65 = 35

= 35

2 x^{3} - x^{2} - 6 x

23 \cdot 43

\frac{1}{3} \cdot 21

2 k^{2} + 2 k - 60

\frac{76}{3}