Solve \sqrt 162 / \sqrt 2 \sqrt 8

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Example problems

Type your math problem... \sqrt 162 / \sqrt 2 \sqrt 8

Question

Calculate the value

182

Alternative Form

\approx 25.455844

Evaluate

\frac{162}{2} \times 8

Simplify the root

More Steps

Evaluate

162

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

81 \times 2

Write the number in exponential form with the base of 9

9^{2} \times 2

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

9^{2} \times 2

Reduce the index of the radical and exponent with 2

92

\frac{9 2}{2} \times 8

Reduce the fraction

98

Simplify the root

More Steps

Evaluate

8

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

4 \times 2

Write the number in exponential form with the base of 2

2^{2} \times 2

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

2^{2} \times 2

Reduce the index of the radical and exponent with 2

22

9 \times 22

Solution

182

Alternative Form

\approx 25.455844

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