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Popular >

simplify 5sqrt(40)

Solution

simplify

540

Solution

1010

+1

Solution steps

540

Prime factorization of

40 : 2^{3} \cdot 5

= 5 2^{3} \cdot 5

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

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

Apply radical rule:

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

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

= 5 2^{2} 2 \cdot 5

Apply radical rule:

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

2^{2} = 2

= 5 \cdot 2 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 5 \cdot 210

Multiply the numbers:

5 \cdot 2 = 10

= 1010

Popular Examples

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- \frac{2}{2}

simplify \sqrt[3]{27/8}simplify

4 c^{2} + 3 c - 2 = 0

Frequently Asked Questions (FAQ)

What is 5sqrt(40) ?
The solution to 5sqrt(40) is 10sqrt(10)