Solve sqrt(338/3)/(sqrt(13pi))/3^(1/4)

Question

Calculate the value

\frac{4 36 \times 4106 7 ^{3} π ^{2}}{3159 π}

Alternative Form

\approx 1.262033

Evaluate

\frac{\frac{338}{3}}{13 π} \div 3^{\frac{1}{4}}

Simplify the root

More Steps

\frac{\frac{13 6}{3}}{13 π} \div 3^{\frac{1}{4}}

Divide the terms

More Steps

\frac{13 6}{3 13 π} \div 3^{\frac{1}{4}}

Multiply by the reciprocal

\frac{13 6}{3 13 π} \times \frac{1}{3 ^{\frac{1}{4}}}

To multiply the fractions,multiply the numerators and denominators separately

\frac{13 6}{3 13 π \times 3 ^{\frac{1}{4}}}

Multiply the numbers

More Steps

\frac{13 6}{4 41067 π ^{2}}

Multiply by the Conjugate

\frac{13 6 \times 4 4106 7 ^{3} π ^{2}}{4 41067 π ^{2} \times 4 4106 7 ^{3} π ^{2}}

Multiply the numbers

More Steps

\frac{13 4 36 \times 4106 7 ^{3} π ^{2}}{4 41067 π ^{2} \times 4 4106 7 ^{3} π ^{2}}

Multiply the numbers

More Steps

\frac{13 4 36 \times 4106 7 ^{3} π ^{2}}{41067 π}

Solution

\frac{4 36 \times 4106 7 ^{3} π ^{2}}{3159 π}

Alternative Form

\approx 1.262033

Show Solution