Solve sqrt(25 - (1 - ((1 / 2)^2)))

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Type your math problem... sqrt(25 - (1 - ((1 / 2)^2)))

Question

Calculate the value

\frac{97}{2}

Alternative Form

\approx 4.924429

Evaluate

25 - (1 - (\frac{1}{2})^{2})

Subtract the numbers

More Steps

Simplify

1 - (\frac{1}{2})^{2}

Rewrite the expression

1 - \frac{1}{2 ^{2}}

Evaluate the power

1 - \frac{1}{4}

Reduce fractions to a common denominator

\frac{4}{4} - \frac{1}{4}

Write all numerators above the common denominator

\frac{4 - 1}{4}

Subtract the numbers

\frac{3}{4}

25 - \frac{3}{4}

Subtract the numbers

More Steps

Simplify

25 - \frac{3}{4}

Reduce fractions to a common denominator

\frac{25 \times 4}{4} - \frac{3}{4}

Write all numerators above the common denominator

\frac{25 \times 4 - 3}{4}

Multiply the numbers

\frac{100 - 3}{4}

Subtract the numbers

\frac{97}{4}

\frac{97}{4}

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

\frac{97}{4}

Solution

More Steps

Evaluate

4

Write the number in exponential form with the base of 2

2^{2}

Reduce the index of the radical and exponent with 2

2

\frac{97}{2}

Alternative Form

\approx 4.924429

Show Solution

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