What is (1/2 sqrt(2))^2 ?

The solution to (1/2 sqrt(2))^2 is 1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1/2 sqrt(2))^2

simplify

(\frac{1}{2} 2)^{2}

\frac{1}{2}

Decimal Notation

0.5

Solution steps

(\frac{1}{2} 2)^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

(\frac{1}{2})^{2} = \frac{1}{4}

= \frac{1}{4} (2)^{2}

(2)^{2} = 2

= 2 \cdot \frac{1}{4}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 2}{4}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2}{4}

Cancel the common factor:

2

= \frac{1}{2}

\frac{12}{4}

\frac{50}{80}

\frac{x ^{2} + 10 x + 16}{2 x ^{2} + 4 x}

(11 m^{15} n^{12})^{2}