en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/2 sqrt(8)

Solution

simplify

\frac{1}{2} 8

Solution

2

+1

Decimal Notation

1.41421 \dots

Solution steps

\frac{1}{2} 8

Prime factorization of

8 : 2^{3}

= \frac{1}{2} 2^{3}

Apply exponent rule:

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

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

= \frac{1}{2} 2^{2} \cdot 2

Apply radical rule:

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

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

= \frac{1}{2} 2^{2} 2

Apply radical rule:

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

2^{2} = 2

= \frac{1}{2} \cdot 22

Convert

2

to fraction

: \frac{2}{1}

= \frac{1}{2} \cdot \frac{2}{1} 2

Cross-cancel common factor:

2

= 1 \cdot 2

Apply rule:

1 \cdot a = a

= 2

Popular Examples

simplify 3/7*5 simplify

\frac{3}{7} \cdot 5

simplify \sqrt[3]{x}\sqrt[3]{x}simplify

simplify (2\sqrt[3]{4})(\sqrt[3]{12})simplify

simplify-5^{-4}simplify

- 5^{- 4}

simplify [(1/2 x^{-2})^3(4xy^{-1})^2]^2 simplify

[(\frac{1}{2} x^{- 2})^{3} (4 x y^{- 1})^{2}]^{2}

Frequently Asked Questions (FAQ)

What is 1/2 sqrt(8) ?
The solution to 1/2 sqrt(8) is square root of 2