What is simplify-5sqrt(384) ?

The solution to simplify-5sqrt(384) is -40sqrt(6)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-5sqrt(384)

simplify

- 5384

- 406

Decimal Notation

- 97.97958 \dots

Solution steps

- 5384

Prime factorization of

384 : 2^{7} \cdot 3

= - 5 2^{7} \cdot 3

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

2^{7} \cdot 3 = 2^{6} \cdot 2 \cdot 3

= - 5 2^{6} \cdot 2 \cdot 3

Apply radical rule:

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

2^{6} \cdot 2 \cdot 3 = 2^{6} 2 \cdot 3

= - 5 2^{6} 2 \cdot 3

2^{6} = 8

= - 5 \cdot 8 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= - 5 \cdot 86

Multiply the numbers:

- 5 \cdot 8 = - 40

= - 406

4.905 \cdot 0.2 - x \cdot 0.4 = 0

\frac{x}{8} = \frac{9}{12}

\frac{3}{4} y - 2 = 6 - \frac{1}{4} y

7 (y - 5) + 3 y = 10 (y + 1)

(x - 1)^{2} = - 16