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Popular >

simplify 10sqrt(90)

Solution

simplify

1090

Solution

3010

+1

Decimal Notation

94.86832 \dots

Solution steps

1090

Prime factorization of

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

= 10 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

= 10 3^{2} 2 \cdot 5

Apply radical rule:

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

3^{2} = 3

= 10 \cdot 3 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 10 \cdot 310

Multiply the numbers:

10 \cdot 3 = 30

= 3010

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Frequently Asked Questions (FAQ)

What is 10sqrt(90) ?
The solution to 10sqrt(90) is 30sqrt(10)