Solve 24A^34-4 - ScanMath

Question

Simplify the expression

96 A^{3} - 4

Evaluate

24 A^{3} \times 4 - 4

Solution

96 A^{3} - 4

Show Solution

4 (24 A^{3} - 1)

Evaluate

24 A^{3} \times 4 - 4

Multiply the terms

96 A^{3} - 4

Solution

4 (24 A^{3} - 1)

Show Solution

A = \frac{3 9}{6}

Alternative Form

A \approx 0.346681

Evaluate

24 A^{3} \times 4 - 4

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

24 A^{3} \times 4 - 4 = 0

Multiply the terms

96 A^{3} - 4 = 0

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

96 A^{3} = 0 + 4

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

96 A^{3} = 4

Divide both sides

\frac{96 A ^{3}}{96} = \frac{4}{96}

Divide the numbers

A^{3} = \frac{4}{96}

Cancel out the common factor 4

A^{3} = \frac{1}{24}

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

3 A^{3} = 3 \frac{1}{24}

Calculate

A = 3 \frac{1}{24}

Solution

More Steps

Evaluate

3 \frac{1}{24}

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

\frac{3 1}{3 24}

Simplify the radical expression

\frac{1}{3 24}

Simplify the radical expression

More Steps

Evaluate

324

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

3 8 \times 3

Write the number in exponential form with the base of 2

3 2^{3} \times 3

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

3 2^{3} \times 33

Reduce the index of the radical and exponent with 3

233

\frac{1}{2 3 3}

Multiply by the Conjugate

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

Simplify

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

Multiply the numbers

More Steps

Evaluate

233 \times 3 3^{2}

Multiply the terms

2 \times 3

Multiply the terms

6

\frac{3 9}{6}

A = \frac{3 9}{6}

Alternative Form

A \approx 0.346681

Show Solution