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Popular >

simplify 5*8sqrt(80)

Solution

simplify

5 \cdot 880

Solution

1605

+1

Solution steps

5 \cdot 880

Prime factorization of

80 : 2^{4} \cdot 5

= 5 \cdot 8 2^{4} \cdot 5

Apply radical rule:

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

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

= 5 \cdot 8 2^{4} 5

2^{4} = 4

= 5 \cdot 8 \cdot 45

Multiply the numbers:

5 \cdot 8 \cdot 4 = 160

= 1605

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Frequently Asked Questions (FAQ)

What is 5*8sqrt(80) ?
The solution to 5*8sqrt(80) is 160sqrt(5)