Solve l^3142-16 - ScanMath

Question

Simplify the expression

142 l^{3} - 16

Evaluate

l^{3} \times 142 - 16

Solution

142 l^{3} - 16

Show Solution

2 (71 l^{3} - 8)

Evaluate

l^{3} \times 142 - 16

Use the commutative property to reorder the terms

142 l^{3} - 16

Solution

2 (71 l^{3} - 8)

Show Solution

l = \frac{2 3 5041}{71}

Alternative Form

l \approx 0.482996

Evaluate

l^{3} \times 142 - 16

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

l^{3} \times 142 - 16 = 0

Use the commutative property to reorder the terms

142 l^{3} - 16 = 0

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

142 l^{3} = 0 + 16

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

142 l^{3} = 16

Divide both sides

\frac{142 l ^{3}}{142} = \frac{16}{142}

Divide the numbers

l^{3} = \frac{16}{142}

Cancel out the common factor 2

l^{3} = \frac{8}{71}

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

3 l^{3} = 3 \frac{8}{71}

Calculate

l = 3 \frac{8}{71}

Solution

More Steps

Evaluate

3 \frac{8}{71}

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

\frac{3 8}{3 71}

Simplify the radical expression

More Steps

Evaluate

38

Write the number in exponential form with the base of 2

3 2^{3}

Reduce the index of the radical and exponent with 3

2

\frac{2}{3 71}

Multiply by the Conjugate

\frac{2 3 7 1 ^{2}}{3 71 \times 3 7 1 ^{2}}

Simplify

\frac{2 3 5041}{3 71 \times 3 7 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

371 \times 3 7 1^{2}

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

3 71 \times 7 1^{2}

Calculate the product

3 7 1^{3}

Reduce the index of the radical and exponent with 3

71

\frac{2 3 5041}{71}

l = \frac{2 3 5041}{71}

Alternative Form

l \approx 0.482996

Show Solution