What is sqrt(8)*sqrt(4) ?

The solution to sqrt(8)*sqrt(4) is 4sqrt(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(8)*sqrt(4)

simplify

8 \cdot 4

42

Decimal Notation

5.65685 \dots

Solution steps

84

4 = 2

= 8 \cdot 2

Prime factorization of

8 : 2^{3}

= 2^{3} \cdot 2

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

= 2^{2} 2 \cdot 2

Apply radical rule:

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

2^{2} = 2

= 22 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 42

\frac{20}{180}

\frac{4}{15} + \frac{1}{2}

36 - 6

1 \frac{1}{3} + (- \frac{5}{6})