Solve L^3252-8 - ScanMath

Question

Simplify the expression

252 L^{3} - 8

Evaluate

L^{3} \times 252 - 8

Solution

252 L^{3} - 8

Show Solution

4 (63 L^{3} - 2)

Evaluate

L^{3} \times 252 - 8

Use the commutative property to reorder the terms

252 L^{3} - 8

Solution

4 (63 L^{3} - 2)

Show Solution

L = \frac{3 294}{21}

Alternative Form

L \approx 0.316638

Evaluate

L^{3} \times 252 - 8

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

L^{3} \times 252 - 8 = 0

Use the commutative property to reorder the terms

252 L^{3} - 8 = 0

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

252 L^{3} = 0 + 8

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

252 L^{3} = 8

Divide both sides

\frac{252 L ^{3}}{252} = \frac{8}{252}

Divide the numbers

L^{3} = \frac{8}{252}

Cancel out the common factor 4

L^{3} = \frac{2}{63}

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

3 L^{3} = 3 \frac{2}{63}

Calculate

L = 3 \frac{2}{63}

Solution

More Steps

Evaluate

3 \frac{2}{63}

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

\frac{3 2}{3 63}

Multiply by the Conjugate

\frac{3 2 \times 3 6 3 ^{2}}{3 63 \times 3 6 3 ^{2}}

Simplify

\frac{3 2 \times 3 3 147}{3 63 \times 3 6 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

32 \times 33147

Multiply the terms

3294 \times 3

Use the commutative property to reorder the terms

33294

\frac{3 3 294}{3 63 \times 3 6 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

363 \times 3 6 3^{2}

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

3 63 \times 6 3^{2}

Calculate the product

3 6 3^{3}

Reduce the index of the radical and exponent with 3

63

\frac{3 3 294}{63}

Cancel out the common factor 3

\frac{3 294}{21}

L = \frac{3 294}{21}

Alternative Form

L \approx 0.316638

Show Solution