Solve 56-3a^314 - ScanMath

Question

Simplify the expression

56 - 42 a^{3}

Evaluate

56 - 3 a^{3} \times 14

Solution

56 - 42 a^{3}

Show Solution

14 (4 - 3 a^{3})

Evaluate

56 - 3 a^{3} \times 14

Multiply the terms

56 - 42 a^{3}

Solution

14 (4 - 3 a^{3})

Show Solution

a = \frac{3 36}{3}

Alternative Form

a \approx 1.100642

Evaluate

56 - 3 a^{3} \times 14

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

56 - 3 a^{3} \times 14 = 0

Multiply the terms

56 - 42 a^{3} = 0

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

- 42 a^{3} = 0 - 56

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

- 42 a^{3} = - 56

Change the signs on both sides of the equation

42 a^{3} = 56

Divide both sides

\frac{42 a ^{3}}{42} = \frac{56}{42}

Divide the numbers

a^{3} = \frac{56}{42}

Cancel out the common factor 14

a^{3} = \frac{4}{3}

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

3 a^{3} = 3 \frac{4}{3}

Calculate

a = 3 \frac{4}{3}

Solution

More Steps

Evaluate

3 \frac{4}{3}

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

\frac{3 4}{3 3}

Multiply by the Conjugate

\frac{3 4 \times 3 3 ^{2}}{3 3 \times 3 3 ^{2}}

Simplify

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

Multiply the numbers

More Steps

Evaluate

34 \times 39

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

3 4 \times 9

Calculate the product

336

\frac{3 36}{3 3 \times 3 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

33 \times 3 3^{2}

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

3 3 \times 3^{2}

Calculate the product

3 3^{3}

Reduce the index of the radical and exponent with 3

3

\frac{3 36}{3}

a = \frac{3 36}{3}

Alternative Form

a \approx 1.100642

Show Solution