Solve l^3164-9 - ScanMath

Question

Simplify the expression

164 l^{3} - 9

Evaluate

l^{3} \times 164 - 9

Solution

164 l^{3} - 9

Show Solution

l = \frac{3 30258}{82}

Alternative Form

l \approx 0.380014

Evaluate

l^{3} \times 164 - 9

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

l^{3} \times 164 - 9 = 0

Use the commutative property to reorder the terms

164 l^{3} - 9 = 0

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

164 l^{3} = 0 + 9

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

164 l^{3} = 9

Divide both sides

\frac{164 l ^{3}}{164} = \frac{9}{164}

Divide the numbers

l^{3} = \frac{9}{164}

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

3 l^{3} = 3 \frac{9}{164}

Calculate

l = 3 \frac{9}{164}

Solution

More Steps

Evaluate

3 \frac{9}{164}

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

\frac{3 9}{3 164}

Multiply by the Conjugate

\frac{3 9 \times 3 16 4 ^{2}}{3 164 \times 3 16 4 ^{2}}

Simplify

\frac{3 9 \times 2 3 3362}{3 164 \times 3 16 4 ^{2}}

Multiply the numbers

More Steps

Evaluate

39 \times 233362

Multiply the terms

330258 \times 2

Use the commutative property to reorder the terms

2330258

\frac{2 3 30258}{3 164 \times 3 16 4 ^{2}}

Multiply the numbers

More Steps

Evaluate

3164 \times 3 16 4^{2}

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

3 164 \times 16 4^{2}

Calculate the product

3 16 4^{3}

Reduce the index of the radical and exponent with 3

164

\frac{2 3 30258}{164}

Cancel out the common factor 2

\frac{3 30258}{82}

l = \frac{3 30258}{82}

Alternative Form

l \approx 0.380014

Show Solution