What is (sqrt(3)-4)/(sqrt(8)) ?

The solution to (sqrt(3)-4)/(sqrt(8)) is (sqrt(3)-4)/(2sqrt(2))

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simplify (sqrt(3)-4)/(sqrt(8))

simplify

\frac{3 - 4}{8}

\frac{3 - 4}{2 2}

Decimal Notation

- 0.80184 \dots

Solution steps

\frac{3 - 4}{8}

Prime factorization of

8 : 2^{3}

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

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

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

Apply radical rule:

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

2^{2} = 2

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

- 8 + 8 + 2

2 - \frac{7}{4}

(- 1)^{2 - 1}

(8 - 4 x) (2 x + 6)

What is (sqrt(3)-4)/(sqrt(8)) ?
The solution to (sqrt(3)-4)/(sqrt(8)) is (sqrt(3)-4)/(2sqrt(2))