Solve l^3314-4 - ScanMath

Question

Simplify the expression

314 l^{3} - 4

Evaluate

l^{3} \times 314 - 4

Solution

314 l^{3} - 4

Show Solution

2 (157 l^{3} - 2)

Evaluate

l^{3} \times 314 - 4

Use the commutative property to reorder the terms

314 l^{3} - 4

Solution

2 (157 l^{3} - 2)

Show Solution

l = \frac{3 49298}{157}

Alternative Form

l \approx 0.233548

Evaluate

l^{3} \times 314 - 4

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

l^{3} \times 314 - 4 = 0

Use the commutative property to reorder the terms

314 l^{3} - 4 = 0

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

314 l^{3} = 0 + 4

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

314 l^{3} = 4

Divide both sides

\frac{314 l ^{3}}{314} = \frac{4}{314}

Divide the numbers

l^{3} = \frac{4}{314}

Cancel out the common factor 2

l^{3} = \frac{2}{157}

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

3 l^{3} = 3 \frac{2}{157}

Calculate

l = 3 \frac{2}{157}

Solution

More Steps

Evaluate

3 \frac{2}{157}

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

\frac{3 2}{3 157}

Multiply by the Conjugate

\frac{3 2 \times 3 15 7 ^{2}}{3 157 \times 3 15 7 ^{2}}

Simplify

\frac{3 2 \times 3 24649}{3 157 \times 3 15 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

32 \times 324649

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

3 2 \times 24649

Calculate the product

349298

\frac{3 49298}{3 157 \times 3 15 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

3157 \times 3 15 7^{2}

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

3 157 \times 15 7^{2}

Calculate the product

3 15 7^{3}

Reduce the index of the radical and exponent with 3

157

\frac{3 49298}{157}

l = \frac{3 49298}{157}

Alternative Form

l \approx 0.233548

Show Solution