Solve 78 * sqrt(5000 / 6850)

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Type your math problem... 78 * sqrt(5000 / 6850)

Question

Calculate the value

\frac{780 137}{137}

Alternative Form

\approx 66.639897

Evaluate

78 \frac{5000}{6850}

Cancel out the common factor 50

78 \frac{100}{137}

Simplify the root

More Steps

Evaluate

\frac{100}{137}

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

\frac{100}{137}

Simplify the radical expression

More Steps

Evaluate

100

Write the number in exponential form with the base of 10

1 0^{2}

Reduce the index of the radical and exponent with 2

10

\frac{10}{137}

Multiply by the Conjugate

\frac{10 137}{137 \times 137}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{10 137}{137}

78 \times \frac{10 137}{137}

Multiply the numbers

\frac{78 \times 10 137}{137}

Solution

\frac{780 137}{137}

Alternative Form

\approx 66.639897

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