What is 10*6sqrt(96) ?

The solution to 10*6sqrt(96) is 240sqrt(6)

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simplify 10*6sqrt(96)

simplify

10 \cdot 696

2406

Decimal Notation

587.87753 \dots

Solution steps

10 \cdot 696

Prime factorization of

96 : 2^{5} \cdot 3

= 10 \cdot 6 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 \cdot 6 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 \cdot 6 2^{4} 2 \cdot 3

2^{4} = 4

= 10 \cdot 6 \cdot 4 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 10 \cdot 6 \cdot 46

Multiply the numbers:

10 \cdot 6 \cdot 4 = 240

= 2406

- 9 + 18

- 6 a^{2} b^{- 4} c \cdot 4 a b^{2}

x y + y^{2}

128

(2 m)^{2}