Solve b^3788-36 - ScanMath

Question

Simplify the expression

788 b^{3} - 36

Evaluate

b^{3} \times 788 - 36

Solution

788 b^{3} - 36

Show Solution

4 (197 b^{3} - 9)

Evaluate

b^{3} \times 788 - 36

Use the commutative property to reorder the terms

788 b^{3} - 36

Solution

4 (197 b^{3} - 9)

Show Solution

b = \frac{3 349281}{197}

Alternative Form

b \approx 0.357486

Evaluate

b^{3} \times 788 - 36

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

b^{3} \times 788 - 36 = 0

Use the commutative property to reorder the terms

788 b^{3} - 36 = 0

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

788 b^{3} = 0 + 36

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

788 b^{3} = 36

Divide both sides

\frac{788 b ^{3}}{788} = \frac{36}{788}

Divide the numbers

b^{3} = \frac{36}{788}

Cancel out the common factor 4

b^{3} = \frac{9}{197}

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

3 b^{3} = 3 \frac{9}{197}

Calculate

b = 3 \frac{9}{197}

Solution

More Steps

Evaluate

3 \frac{9}{197}

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

\frac{3 9}{3 197}

Multiply by the Conjugate

\frac{3 9 \times 3 19 7 ^{2}}{3 197 \times 3 19 7 ^{2}}

Simplify

\frac{3 9 \times 3 38809}{3 197 \times 3 19 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

39 \times 338809

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

3 9 \times 38809

Calculate the product

3349281

\frac{3 349281}{3 197 \times 3 19 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

3197 \times 3 19 7^{2}

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

3 197 \times 19 7^{2}

Calculate the product

3 19 7^{3}

Reduce the index of the radical and exponent with 3

197

\frac{3 349281}{197}

b = \frac{3 349281}{197}

Alternative Form

b \approx 0.357486

Show Solution