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Popular >

simplify 10sqrt(50)

Solution

simplify

1050

Solution

502

+1

Solution steps

1050

Prime factorization of

50 : 2 \cdot 5^{2}

= 10 2 \cdot 5^{2}

Apply radical rule:

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

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

= 102 5^{2}

Apply radical rule:

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

5^{2} = 5

= 102 \cdot 5

Multiply the numbers:

10 \cdot 5 = 50

= 502

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Frequently Asked Questions (FAQ)

What is 10sqrt(50) ?
The solution to 10sqrt(50) is 50sqrt(2)