en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(408)

Solution

simplify

408

Solution

2102

+1

Decimal Notation

20.19900 \dots

Solution steps

408

Prime factorization of

408 : 2^{3} \cdot 3 \cdot 17

= 2^{3} \cdot 3 \cdot 17

Apply exponent rule:

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

2^{3} \cdot 3 \cdot 17 = 2^{2} \cdot 2 \cdot 3 \cdot 17

= 2^{2} \cdot 2 \cdot 3 \cdot 17

Apply radical rule:

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

2^{2} \cdot 2 \cdot 3 \cdot 17 = 2^{2} 2 \cdot 3 \cdot 17

= 2^{2} 2 \cdot 3 \cdot 17

Apply radical rule:

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

2^{2} = 2

= 2 2 \cdot 3 \cdot 17

Multiply the numbers:

2 \cdot 3 \cdot 17 = 102

= 2102

Popular Examples

simplify (x+1-2i)(x+1+2i)simplify

(x + 1 - 2 i) (x + 1 + 2 i)

simplify sqrt(5+2)simplify

5 + 2

factor 5x^2+405 factor

5 x^{2} + 405

factor x^4y+x^2y^5 factor

x^{4} y + x^{2} y^{5}

simplify 1/(1+2/3)simplify

\frac{1}{1 + \frac{2}{3}}

Frequently Asked Questions (FAQ)

What is sqrt(408) ?
The solution to sqrt(408) is 2sqrt(102)