Solve sqrt(27 * 160) - sqrt(27 * 70)

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Example problems

Type your math problem... sqrt(27 * 160) - sqrt(27 * 70)

Question

Calculate the value

1230 - 3210

Alternative Form

\approx 22.252577

Evaluate

27 \times 160 - 27 \times 70

Multiply the numbers

4320 - 27 \times 70

Simplify the root

More Steps

Evaluate

4320

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

144 \times 30

Write the number in exponential form with the base of 12

1 2^{2} \times 30

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

1 2^{2} \times 30

Reduce the index of the radical and exponent with 2

1230

1230 - 27 \times 70

Multiply the numbers

1230 - 1890

Solution

More Steps

Evaluate

1890

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

9 \times 210

Write the number in exponential form with the base of 3

3^{2} \times 210

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

3^{2} \times 210

Reduce the index of the radical and exponent with 2

3210

1230 - 3210

Alternative Form

\approx 22.252577

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