Solve root(4)( 5/4 )

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Example problems

Type your math problem... root(4)( 5/4 )

Question

Calculate the value

\frac{4 20}{2}

Alternative Form

\approx 1.057371

Evaluate

4 \frac{5}{4}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{4 5}{4 4}

Simplify the radical expression

More Steps

Evaluate

44

Write the number in exponential form with the base of 2

4 2^{2}

Reduce the index of the radical and exponent with 2

2

\frac{4 5}{2}

Multiply by the Conjugate

\frac{4 5 \times 2}{2 \times 2}

Multiply the numbers

More Steps

Evaluate

45 \times 2

Use n a = mn a^{m} to expand the expression

45 \times 4 2^{2}

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

4 5 \times 2^{2}

Calculate the product

More Steps

Evaluate

5 \times 2^{2}

Evaluate the power

5 \times 4

Multiply the numbers

20

420

\frac{4 20}{2 \times 2}

Solution

\frac{4 20}{2}

Alternative Form

\approx 1.057371

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