en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3sqrt(27)

Solution

simplify

327

Solution

93

+1

Decimal Notation

15.58845 \dots

Solution steps

327

Prime factorization of

27 : 3^{3}

= 3 3^{3}

Apply exponent rule:

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

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

= 3 3^{2} \cdot 3

Apply radical rule:

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

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

= 3 3^{2} 3

Apply radical rule:

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

3^{2} = 3

= 3 \cdot 33

Multiply the numbers:

3 \cdot 3 = 9

= 93

Popular Examples

simplify sqrt(5^6)simplify

5^{6}

simplify (400(sqrt(0+7)-3))/(0-2)simplify

\frac{400 ( 0 + 7 - 3 )}{0 - 2}

simplify 5*(-1)simplify

5 \cdot (- 1)

simplify 2\times 6 simplify

2 \times 6

simplify 2x\times (-2)simplify

2 x \times (- 2)

Frequently Asked Questions (FAQ)

What is 3sqrt(27) ?
The solution to 3sqrt(27) is 9sqrt(3)