en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 13sqrt(27)

Solution

simplify

1327

Solution

393

+1

Decimal

67.54998 \dots

Solution steps

1327

Prime factorization of

27 : 3^{3}

= 13 3^{3}

Apply exponent rule:

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

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

= 13 3^{2} \cdot 3

Apply radical rule:

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

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

= 13 3^{2} 3

Apply radical rule:

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

3^{2} = 3

= 13 \cdot 33

Multiply the numbers:

13 \cdot 3 = 39

= 393

Popular Examples

simplify 250/270 simplify

\frac{250}{270}

simplify-8\times 2 simplify

- 8 \times 2

simplify 4sec^2(x)tan^2(x)+2sec^4(x)simplify

4 sec^{2} (x) tan^{2} (x) + 2 sec^{4} (x)

factor 5x^2+38x+21 factor

5 x^{2} + 38 x + 21

simplify sqrt(-1)\times sqrt(-1)simplify

- 1 \times - 1

Frequently Asked Questions (FAQ)

What is 13sqrt(27) ?
The solution to 13sqrt(27) is 39sqrt(3)