Solve 9S^304-66 - ScanMath

Question

Simplify the expression

36 S^{3} - 66

Evaluate

9 S^{3} \times 4 - 66

Solution

36 S^{3} - 66

Show Solution

6 (6 S^{3} - 11)

Evaluate

9 S^{3} \times 4 - 66

Multiply the terms

36 S^{3} - 66

Solution

6 (6 S^{3} - 11)

Show Solution

S = \frac{3 396}{6}

Alternative Form

S \approx 1.223903

Evaluate

9 S^{3} \times 4 - 66

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

9 S^{3} \times 4 - 66 = 0

Multiply the terms

36 S^{3} - 66 = 0

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

36 S^{3} = 0 + 66

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

36 S^{3} = 66

Divide both sides

\frac{36 S ^{3}}{36} = \frac{66}{36}

Divide the numbers

S^{3} = \frac{66}{36}

Cancel out the common factor 6

S^{3} = \frac{11}{6}

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

3 S^{3} = 3 \frac{11}{6}

Calculate

S = 3 \frac{11}{6}

Solution

More Steps

Evaluate

3 \frac{11}{6}

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

\frac{3 11}{3 6}

Multiply by the Conjugate

\frac{3 11 \times 3 6 ^{2}}{3 6 \times 3 6 ^{2}}

Simplify

\frac{3 11 \times 3 36}{3 6 \times 3 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

311 \times 336

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

3 11 \times 36

Calculate the product

3396

\frac{3 396}{3 6 \times 3 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

36 \times 3 6^{2}

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

3 6 \times 6^{2}

Calculate the product

3 6^{3}

Reduce the index of the radical and exponent with 3

6

\frac{3 396}{6}

S = \frac{3 396}{6}

Alternative Form

S \approx 1.223903

Show Solution