en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 4sqrt(27)

Solution

simplify

427

Solution

123

+1

Decimal Notation

20.78460 \dots

Solution steps

427

Prime factorization of

27 : 3^{3}

= 4 3^{3}

Apply exponent rule:

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

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

= 4 3^{2} \cdot 3

Apply radical rule:

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

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

= 4 3^{2} 3

Apply radical rule:

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

3^{2} = 3

= 4 \cdot 33

Multiply the numbers:

4 \cdot 3 = 12

= 123

Popular Examples

simplify (8xy)/(2x)simplify

\frac{8 x y}{2 x}

y^{2} - 5 y - 3 = 0

simplify 9/8+5/6 simplify

\frac{9}{8} + \frac{5}{6}

simplify sqrt(305)simplify

305

3 \geq \frac{a}{11}

Frequently Asked Questions (FAQ)

What is 4sqrt(27) ?
The solution to 4sqrt(27) is 12sqrt(3)