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Popular >

simplify 8sqrt(90)

Solution

simplify

890

Solution

2410

+1

Decimal Notation

75.89466 \dots

Solution steps

890

Prime factorization of

90 : 2 \cdot 3^{2} \cdot 5

= 8 2 \cdot 3^{2} \cdot 5

Apply radical rule:

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

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

= 8 3^{2} 2 \cdot 5

Apply radical rule:

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

3^{2} = 3

= 8 \cdot 3 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 8 \cdot 310

Multiply the numbers:

8 \cdot 3 = 24

= 2410

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Frequently Asked Questions (FAQ)

What is 8sqrt(90) ?
The solution to 8sqrt(90) is 24sqrt(10)