What is 10*9sqrt(24) ?

The solution to 10*9sqrt(24) is 180sqrt(6)

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simplify 10*9sqrt(24)

simplify

10 \cdot 924

1806

Decimal Notation

440.90815 \dots

Solution steps

10 \cdot 924

Prime factorization of

24 : 2^{3} \cdot 3

= 10 \cdot 9 2^{3} \cdot 3

Apply exponent rule:

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

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

= 10 \cdot 9 2^{2} \cdot 2 \cdot 3

Apply radical rule:

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

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

= 10 \cdot 9 2^{2} 2 \cdot 3

Apply radical rule:

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

2^{2} = 2

= 10 \cdot 9 \cdot 2 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 10 \cdot 9 \cdot 26

Multiply the numbers:

10 \cdot 9 \cdot 2 = 180

= 1806

\frac{x - 5}{2 x + 3} \geq 1

lo g_{6} (66)

- 3 x > - 2 x > - x

2 (x + 1) + 2 (x + 1) = x + 13

\frac{1 0 ^{6}}{1 0 ^{- 2}}