What is 1/(2sqrt(8)) ?

The solution to 1/(2sqrt(8)) is 1/(4sqrt(2))

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simplify 1/(2sqrt(8))

simplify

\frac{1}{2 8}

\frac{1}{4 2}

Decimal Notation

0.17677 \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 2 2}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{1}{4 2}

(3 x - 8) (2 x + 10)

- 2 (\frac{1}{2} x + 2) + 2

x^{2} - 6 x^{2}

\frac{9}{24}

\frac{750}{10000}