Solve 56-3a^3141 - ScanMath

Question

Simplify the expression

56 - 423 a^{3}

Evaluate

56 - 3 a^{3} \times 141

Solution

56 - 423 a^{3}

Show Solution

a = \frac{2 3 7 \times 42 3 ^{2}}{423}

Alternative Form

a \approx 0.509662

Evaluate

56 - 3 a^{3} \times 141

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

56 - 3 a^{3} \times 141 = 0

Multiply the terms

56 - 423 a^{3} = 0

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

- 423 a^{3} = 0 - 56

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

- 423 a^{3} = - 56

Change the signs on both sides of the equation

423 a^{3} = 56

Divide both sides

\frac{423 a ^{3}}{423} = \frac{56}{423}

Divide the numbers

a^{3} = \frac{56}{423}

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

3 a^{3} = 3 \frac{56}{423}

Calculate

a = 3 \frac{56}{423}

Solution

More Steps

Evaluate

3 \frac{56}{423}

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

\frac{3 56}{3 423}

Simplify the radical expression

More Steps

Evaluate

356

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

3 8 \times 7

Write the number in exponential form with the base of 2

3 2^{3} \times 7

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

3 2^{3} \times 37

Reduce the index of the radical and exponent with 3

237

\frac{2 3 7}{3 423}

Multiply by the Conjugate

\frac{2 3 7 \times 3 42 3 ^{2}}{3 423 \times 3 42 3 ^{2}}

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

\frac{2 3 7 \times 42 3 ^{2}}{3 423 \times 3 42 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

3423 \times 3 42 3^{2}

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

3 423 \times 42 3^{2}

Calculate the product

3 42 3^{3}

Reduce the index of the radical and exponent with 3

423

\frac{2 3 7 \times 42 3 ^{2}}{423}

a = \frac{2 3 7 \times 42 3 ^{2}}{423}

Alternative Form

a \approx 0.509662

Show Solution