What is (sqrt(24))/8 ?

The solution to (sqrt(24))/8 is (sqrt(3))/(2sqrt(2))

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simplify (sqrt(24))/8

simplify

\frac{24}{8}

\frac{3}{2 2}

Solution steps

\frac{24}{8}

Factor

24 : 26

= \frac{2 6}{8}

Factor the number:

8 = 2^{3}

= \frac{2 6}{2 ^{3}}

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

= \frac{6}{2 ^{2}}

Factor

6 : 23

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

Apply exponent rule:

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

2^{2} = 2 \cdot 2

= \frac{2 3}{2 \cdot 2}

Apply radical rule:

a = a a

2 = 22

= \frac{2 3}{2 2 \cdot 2}

Cancel the common factor:

2

= \frac{3}{2 \cdot 2}

= \frac{3}{2 2}

x^{2} - 18 x + 71 = 0

- 1.2 (8)^{2} + 9.6 (8)

2 < x < 5

6 (3 x - 2) - 5 (2 x + 1) = 4 x - 14

\frac{a ^{2} + 9 a + 18}{a ^{2} + 3 a - 18}