Solve l^3141-23 1^{\circ}

Question

Simplify the expression

141 l^{3} - 23 1^{\circ}

Evaluate

l^{3} \times 141 - 23 1^{\circ}

Solution

141 l^{3} - 23 1^{\circ}

Show Solution

\frac{1}{60} (8460 l^{3} - 77 π)

Evaluate

l^{3} \times 141 - 23 1^{\circ}

Use the commutative property to reorder the terms

141 l^{3} - 23 1^{\circ}

Solution

\frac{1}{60} (8460 l^{3} - 77 π)

Show Solution

l = \frac{3 77 \times 846 0 ^{2} π}{8460}

Alternative Form

l \approx 0.30579

Evaluate

l^{3} \times 141 - 23 1^{\circ}

To find the roots of the expression,set the expression equal to 0

l^{3} \times 141 - 23 1^{\circ} = 0

Use the commutative property to reorder the terms

141 l^{3} - 23 1^{\circ} = 0

Move the constant to the right-hand side and change its sign

141 l^{3} = 0 + 23 1^{\circ}

Removing 0 doesn't change the value,so remove it from the expression

141 l^{3} = \frac{77 π}{60}

Divide both sides

\frac{141 l ^{3}}{141} = \frac{\frac{77 π}{60}}{141}

Divide the numbers

l^{3} = \frac{\frac{77 π}{60}}{141}

Divide the numbers

More Steps

Evaluate

\frac{\frac{77 π}{60}}{141}

Rewrite the expression

\frac{77 π}{60} \times \frac{1}{141}

To multiply the fractions,multiply the numerators and denominators separately

\frac{77 π}{60 \times 141}

Multiply the numbers

\frac{77 π}{8460}

l^{3} = \frac{77 π}{8460}

Take the 3 -th root on both sides of the equation

3 l^{3} = 3 \frac{77 π}{8460}

Calculate

l = 3 \frac{77 π}{8460}

Solution

More Steps

Evaluate

3 \frac{77 π}{8460}

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

\frac{3 77 π}{3 8460}

Multiply by the Conjugate

\frac{3 77 π \times 3 846 0 ^{2}}{3 8460 \times 3 846 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

3 77 π \times 3 846 0^{2}

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

3 77 π \times 846 0^{2}

Calculate the product

3 77 \times 846 0^{2} π

\frac{3 77 \times 846 0 ^{2} π}{3 8460 \times 3 846 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

38460 \times 3 846 0^{2}

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

3 8460 \times 846 0^{2}

Calculate the product

3 846 0^{3}

Reduce the index of the radical and exponent with 3

8460

\frac{3 77 \times 846 0 ^{2} π}{8460}

l = \frac{3 77 \times 846 0 ^{2} π}{8460}

Alternative Form

l \approx 0.30579

Show Solution