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Popular >

simplify 4sqrt(90)

Solution

simplify

490

Solution

1210

+1

Solution steps

490

Prime factorization of

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

= 4 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

= 4 3^{2} 2 \cdot 5

Apply radical rule:

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

3^{2} = 3

= 4 \cdot 3 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 4 \cdot 310

Multiply the numbers:

4 \cdot 3 = 12

= 1210

Popular Examples

8 n + 9 < - 31

simplify (\sqrt[-2]{3})/(\sqrt[3]{2)}simplify

5(-7A-10)=3A-10

5 (- 7 A - 10) = 3 A - 10

simplify 1/(2-(3-i))simplify

\frac{1}{2 - ( 3 - i )}

-1/4 a-4= 7/4 a-3

- \frac{1}{4} a - 4 = \frac{7}{4} a - 3

Frequently Asked Questions (FAQ)

What is 4sqrt(90) ?
The solution to 4sqrt(90) is 12sqrt(10)