Solve l^33592-1 - ScanMath

Question

Simplify the expression

3592 l^{3} - 1

Evaluate

l^{3} \times 3592 - 1

Solution

3592 l^{3} - 1

Show Solution

l = \frac{3 44 9 ^{2}}{898}

Alternative Form

l \approx 0.065296

Evaluate

l^{3} \times 3592 - 1

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

l^{3} \times 3592 - 1 = 0

Use the commutative property to reorder the terms

3592 l^{3} - 1 = 0

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

3592 l^{3} = 0 + 1

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

3592 l^{3} = 1

Divide both sides

\frac{3592 l ^{3}}{3592} = \frac{1}{3592}

Divide the numbers

l^{3} = \frac{1}{3592}

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

3 l^{3} = 3 \frac{1}{3592}

Calculate

l = 3 \frac{1}{3592}

Solution

More Steps

Evaluate

3 \frac{1}{3592}

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

\frac{3 1}{3 3592}

Simplify the radical expression

\frac{1}{3 3592}

Simplify the radical expression

More Steps

Evaluate

33592

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

3 8 \times 449

Write the number in exponential form with the base of 2

3 2^{3} \times 449

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

3 2^{3} \times 3449

Reduce the index of the radical and exponent with 3

23449

\frac{1}{2 3 449}

Multiply by the Conjugate

\frac{3 44 9 ^{2}}{2 3 449 \times 3 44 9 ^{2}}

Multiply the numbers

More Steps

Evaluate

23449 \times 3 44 9^{2}

Multiply the terms

2 \times 449

Multiply the terms

898

\frac{3 44 9 ^{2}}{898}

l = \frac{3 44 9 ^{2}}{898}

Alternative Form

l \approx 0.065296

Show Solution