Solve sqrt(10) sqrt(50)

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Example problems

Type your math problem... sqrt(10) sqrt(50)

Question

Calculate the value

105

Alternative Form

\approx 22.36068

Evaluate

10 \times 50

Simplify the root

More Steps

Evaluate

50

Write the expression as a product where the root of one of the factors can be evaluated

25 \times 2

Write the number in exponential form with the base of 5

5^{2} \times 2

The root of a product is equal to the product of the roots of each factor

5^{2} \times 2

Reduce the index of the radical and exponent with 2

52

10 \times 52

Rewrite the expression

More Steps

Evaluate

10 \times 2

The product of roots with the same index is equal to the root of the product

10 \times 2

Calculate the product

20

Write the expression as a product where the root of one of the factors can be evaluated

4 \times 5

Write the number in exponential form with the base of 2

2^{2} \times 5

The root of a product is equal to the product of the roots of each factor

2^{2} \times 5

Reduce the index of the radical and exponent with 2

25

25 \times 5

Solution

105

Alternative Form

\approx 22.36068

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