Solve sqrt(50 * (50^2))

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Example problems

Type your math problem... sqrt(50 * (50^2))

Question

Calculate the value

2502

Alternative Form

\approx 353.553391

Evaluate

50 \times 5 0^{2}

Calculate the product

5 0^{3}

Rewrite the exponent as a sum where one of the addends is a multiple of the index

5 0^{2 + 1}

Use a^{m + n} = a^{m} \times a^{n} to expand the expression

5 0^{2} \times 50

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

5 0^{2} \times 50

Reduce the index of the radical and exponent with 2

5050

Simplify the radical expression

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

50 \times 52

Solution

2502

Alternative Form

\approx 353.553391

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