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Popular >

simplify 4sqrt(150)

Solution

simplify

4150

Solution

206

+1

Decimal Notation

48.98979 \dots

Solution steps

4150

Prime factorization of

150 : 2 \cdot 3 \cdot 5^{2}

= 4 2 \cdot 3 \cdot 5^{2}

Apply radical rule:

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

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

= 4 2 \cdot 3 5^{2}

Apply radical rule:

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

5^{2} = 5

= 4 2 \cdot 3 \cdot 5

Multiply the numbers:

2 \cdot 3 = 6

= 46 \cdot 5

Multiply the numbers:

4 \cdot 5 = 20

= 206

Popular Examples

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4162

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x^{2} + 2 x + 3 x + 6

simplify (6x^2+3x)/(2x^2+7x+3)simplify

\frac{6 x ^{2} + 3 x}{2 x ^{2} + 7 x + 3}

expand (x+a)^2+8(x+a)+8 expand

(x + a)^{2} + 8 (x + a) + 8

simplify sqrt(2\times 3)simplify

2 \times 3

Frequently Asked Questions (FAQ)

What is 4sqrt(150) ?
The solution to 4sqrt(150) is 20sqrt(6)