What is 5sqrt(24)*3sqrt(10) ?

The solution to 5sqrt(24)*3sqrt(10) is 60sqrt(15)

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simplify 5sqrt(24)*3sqrt(10)

simplify

524 \cdot 310

6015

Decimal Notation

232.37900 \dots

Solution steps

524 \cdot 310

24 = 26

= 5 \cdot 26 \cdot 310

6 = 23

= 5 \cdot 223 \cdot 310

10 = 25

= 5 \cdot 223 \cdot 325

Apply radical rule:

a a = a, a \geq 0

22 = 2

= 5 \cdot 2 \cdot 23 \cdot 35

Apply radical rule:

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

35 = 3 \cdot 5

= 5 \cdot 2 \cdot 2 3 \cdot 5 \cdot 3

Multiply the numbers:

3 \cdot 5 = 15

= 5 \cdot 2 \cdot 215 \cdot 3

Multiply the numbers:

5 \cdot 2 \cdot 2 \cdot 3 = 60

= 6015

\frac{2 x ^{2} - 3 x - 2}{6 x + 3} \cdot \frac{3 x + 6}{x ^{2} - 4}

17 \times 17

1 + 3.3 lo g_{10} (40)