Solve l^3123-8 - ScanMath

Question

Simplify the expression

123 l^{3} - 8

Evaluate

l^{3} \times 123 - 8

Solution

123 l^{3} - 8

Show Solution

l = \frac{2 3 15129}{123}

Alternative Form

l \approx 0.402156

Evaluate

l^{3} \times 123 - 8

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

l^{3} \times 123 - 8 = 0

Use the commutative property to reorder the terms

123 l^{3} - 8 = 0

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

123 l^{3} = 0 + 8

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

123 l^{3} = 8

Divide both sides

\frac{123 l ^{3}}{123} = \frac{8}{123}

Divide the numbers

l^{3} = \frac{8}{123}

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

3 l^{3} = 3 \frac{8}{123}

Calculate

l = 3 \frac{8}{123}

Solution

More Steps

Evaluate

3 \frac{8}{123}

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

\frac{3 8}{3 123}

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}{3 123}

Multiply by the Conjugate

\frac{2 3 12 3 ^{2}}{3 123 \times 3 12 3 ^{2}}

Simplify

\frac{2 3 15129}{3 123 \times 3 12 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

3123 \times 3 12 3^{2}

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

3 123 \times 12 3^{2}

Calculate the product

3 12 3^{3}

Reduce the index of the radical and exponent with 3

123

\frac{2 3 15129}{123}

l = \frac{2 3 15129}{123}

Alternative Form

l \approx 0.402156

Show Solution