en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(36+4)

Solution

simplify

36 + 4

Solution

210

+1

Decimal Notation

6.32455 \dots

Solution steps

36 + 4

Add the numbers:

36 + 4 = 40

= 40

Prime factorization of

40 : 2^{3} \cdot 5

= 2^{3} \cdot 5

Apply exponent rule:

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

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

= 2^{2} \cdot 2 \cdot 5

Apply radical rule:

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

2^{2} \cdot 2 \cdot 5 = 2^{2} 2 \cdot 5

= 2^{2} 2 \cdot 5

Apply radical rule:

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

2^{2} = 2

= 2 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 210

Popular Examples

simplify 2/3 x+3 simplify

\frac{2}{3} x + 3

simplify 2/3 x+4 simplify

\frac{2}{3} x + 4

simplify sqrt(3625)simplify

3625

simplify 1/3-1/10 simplify

\frac{1}{3} - \frac{1}{10}

simplify (x+2)^2+6 simplify

(x + 2)^{2} + 6

Frequently Asked Questions (FAQ)

What is sqrt(36+4) ?
The solution to sqrt(36+4) is 2sqrt(10)