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Popular >

simplify 10sqrt(96)

Solution

simplify

1096

Solution

406

+1

Decimal Notation

97.97958 \dots

Solution steps

1096

Prime factorization of

96 : 2^{5} \cdot 3

= 10 2^{5} \cdot 3

Apply exponent rule:

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

2^{5} \cdot 3 = 2^{4} \cdot 2 \cdot 3

= 10 2^{4} \cdot 2 \cdot 3

Apply radical rule:

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

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

= 10 2^{4} 2 \cdot 3

2^{4} = 4

= 10 \cdot 4 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 10 \cdot 46

Multiply the numbers:

10 \cdot 4 = 40

= 406

Popular Examples

5 x + 7 \leq 9 x - 5

factor 6x^2-30x+36 factor

6 x^{2} - 30 x + 36

factor (7-3m)/(m^2-9)factor

\frac{7 - 3 m}{m ^{2} - 9}

simplify (5^{-6})/(5^{-4)}simplify

\frac{5 ^{- 6}}{5 ^{- 4}}

- 6 < 2 - 2 x \leq 14

Frequently Asked Questions (FAQ)

What is 10sqrt(96) ?
The solution to 10sqrt(96) is 40sqrt(6)