What is (24sqrt(28))/(8sqrt(6)) ?

The solution to (24sqrt(28))/(8sqrt(6)) is square root of 42

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simplify (24sqrt(28))/(8sqrt(6))

simplify

\frac{24 28}{8 6}

42

Decimal Notation

6.48074 \dots

Solution steps

\frac{24 28}{8 6}

Factor the number:

24 = 8 \cdot 3

= \frac{8 \cdot 3 28}{8 6}

Cancel the common factor:

8

= \frac{3 28}{6}

Factor

28 : 214

= \frac{3 2 14}{6}

Factor

6 : 23

= \frac{3 2 14}{2 3}

Cancel the common factor:

2

= \frac{3 14}{3}

Apply radical rule:

a = a a

3 = 33

= \frac{3 3 14}{3}

Cancel the common factor:

3

= 314

314 = 42

= 42

45 x^{2} - 3 x - 6

- \frac{1}{9} - 13

- x = 21 - 4 x

4 x^{2} - 15 x - 4 = 0

x^{2} - 9 \geq 0

What is (24sqrt(28))/(8sqrt(6)) ?
The solution to (24sqrt(28))/(8sqrt(6)) is square root of 42