Solve l^38667-1 - ScanMath

Question

Simplify the expression

8667 l^{3} - 1

Evaluate

l^{3} \times 8667 - 1

Solution

8667 l^{3} - 1

Show Solution

l = \frac{3 32 1 ^{2}}{963}

Alternative Form

l \approx 0.048683

Evaluate

l^{3} \times 8667 - 1

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

l^{3} \times 8667 - 1 = 0

Use the commutative property to reorder the terms

8667 l^{3} - 1 = 0

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

8667 l^{3} = 0 + 1

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

8667 l^{3} = 1

Divide both sides

\frac{8667 l ^{3}}{8667} = \frac{1}{8667}

Divide the numbers

l^{3} = \frac{1}{8667}

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

3 l^{3} = 3 \frac{1}{8667}

Calculate

l = 3 \frac{1}{8667}

Solution

More Steps

Evaluate

3 \frac{1}{8667}

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

\frac{3 1}{3 8667}

Simplify the radical expression

\frac{1}{3 8667}

Simplify the radical expression

More Steps

Evaluate

38667

Write the expression as a product where the root of one of the factors can be evaluated

3 27 \times 321

Write the number in exponential form with the base of 3

3 3^{3} \times 321

The root of a product is equal to the product of the roots of each factor

3 3^{3} \times 3321

Reduce the index of the radical and exponent with 3

33321

\frac{1}{3 3 321}

Multiply by the Conjugate

\frac{3 32 1 ^{2}}{3 3 321 \times 3 32 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

33321 \times 3 32 1^{2}

Multiply the terms

3 \times 321

Multiply the terms

963

\frac{3 32 1 ^{2}}{963}

l = \frac{3 32 1 ^{2}}{963}

Alternative Form

l \approx 0.048683

Show Solution