Solve l^3122-4 - ScanMath

Question

Simplify the expression

122 l^{3} - 4

Evaluate

l^{3} \times 122 - 4

Solution

122 l^{3} - 4

Show Solution

2 (61 l^{3} - 2)

Evaluate

l^{3} \times 122 - 4

Use the commutative property to reorder the terms

122 l^{3} - 4

Solution

2 (61 l^{3} - 2)

Show Solution

l = \frac{3 7442}{61}

Alternative Form

l \approx 0.320061

Evaluate

l^{3} \times 122 - 4

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

l^{3} \times 122 - 4 = 0

Use the commutative property to reorder the terms

122 l^{3} - 4 = 0

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

122 l^{3} = 0 + 4

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

122 l^{3} = 4

Divide both sides

\frac{122 l ^{3}}{122} = \frac{4}{122}

Divide the numbers

l^{3} = \frac{4}{122}

Cancel out the common factor 2

l^{3} = \frac{2}{61}

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

3 l^{3} = 3 \frac{2}{61}

Calculate

l = 3 \frac{2}{61}

Solution

More Steps

Evaluate

3 \frac{2}{61}

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

\frac{3 2}{3 61}

Multiply by the Conjugate

\frac{3 2 \times 3 6 1 ^{2}}{3 61 \times 3 6 1 ^{2}}

Simplify

\frac{3 2 \times 3 3721}{3 61 \times 3 6 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

32 \times 33721

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

3 2 \times 3721

Calculate the product

37442

\frac{3 7442}{3 61 \times 3 6 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

361 \times 3 6 1^{2}

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

3 61 \times 6 1^{2}

Calculate the product

3 6 1^{3}

Reduce the index of the radical and exponent with 3

61

\frac{3 7442}{61}

l = \frac{3 7442}{61}

Alternative Form

l \approx 0.320061

Show Solution