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Popular >

simplify 7sqrt(96)

Solution

simplify

796

Solution

286

+1

Decimal Notation

68.58571 \dots

Solution steps

796

Prime factorization of

96 : 2^{5} \cdot 3

= 7 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

= 7 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

= 7 2^{4} 2 \cdot 3

2^{4} = 4

= 7 \cdot 4 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 7 \cdot 46

Multiply the numbers:

7 \cdot 4 = 28

= 286

Popular Examples

5 x + 2 > 9

6 (x + 1) - 4 x = 5 x - 9

simplify-3/2+1/3 simplify

- \frac{3}{2} + \frac{1}{3}

-23d+81<=-98d+1

- 23 d + 81 \leq - 98 d + 1

\frac{4}{∣ x + 1 ∣} > 9

Frequently Asked Questions (FAQ)

What is 7sqrt(96) ?
The solution to 7sqrt(96) is 28sqrt(6)