What is (4-sqrt(2))/(2sqrt(8)) ?

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

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simplify (4-sqrt(2))/(2sqrt(8))

simplify

\frac{4 - 2}{2 8}

\frac{4 - 2}{4 2}

Solution steps

\frac{4 - 2}{2 8}

Prime factorization of

8 : 2^{3}

= \frac{4 - 2}{2 2 ^{3}}

Apply exponent rule:

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

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

= \frac{4 - 2}{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{4 - 2}{2 2 ^{2} 2}

Apply radical rule:

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

2^{2} = 2

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

Multiply the numbers:

2 \cdot 2 = 4

= \frac{4 - 2}{4 2}

16 b^{2} - 8 b - 15 = 0

m^{2} + 2 = 0

125 - 8 u^{3}

x^{2} - 2 x - 4 y^{2} - 4 y

2 (2 x^{2} - 3 x) > - 9

What is (4-sqrt(2))/(2sqrt(8)) ?
The solution to (4-sqrt(2))/(2sqrt(8)) is (4-sqrt(2))/(4sqrt(2))