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Popular >

simplify 1/(sqrt(8))

Solution

simplify

\frac{1}{8}

Solution

\frac{1}{2 2}

+1

Decimal Notation

0.35355 \dots

Solution steps

\frac{1}{8}

Prime factorization of

8 : 2^{3}

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

Apply exponent rule:

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

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

= \frac{1}{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}

Apply radical rule:

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

2^{2} = 2

= \frac{1}{2 2}

Popular Examples

\frac{3 x}{10} = \frac{9}{4}

simplify ((64^{5/9}*64^{2/9}))/(4^{3/4)}simplify

\frac{( 6 4 ^{\frac{5}{9}} \cdot 6 4 ^{\frac{2}{9}} )}{4 ^{\frac{3}{4}}}

2.584-2.584x=3-x

2.584 - 2.584 x = 3 - x

factor 6x^5-x^3 factor

6 x^{5} - x^{3}

4 x + 5 = 2 x - 1

Frequently Asked Questions (FAQ)

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