Solve 1b^3023-3 - Socratic AI (ScanMath)

Question

Simplify the expression

23 b^{3} - 3

Evaluate

1 \times b^{3} \times 23 - 3

Solution

More Steps

Evaluate

1 \times b^{3} \times 23

Rewrite the expression

b^{3} \times 23

Use the commutative property to reorder the terms

23 b^{3}

23 b^{3} - 3

Show Solution

b = \frac{3 1587}{23}

Alternative Form

b \approx 0.507144

Evaluate

1 \times b^{3} \times 23 - 3

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

1 \times b^{3} \times 23 - 3 = 0

Multiply the terms

More Steps

Multiply the terms

1 \times b^{3} \times 23

Rewrite the expression

b^{3} \times 23

Use the commutative property to reorder the terms

23 b^{3}

23 b^{3} - 3 = 0

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

23 b^{3} = 0 + 3

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

23 b^{3} = 3

Divide both sides

\frac{23 b ^{3}}{23} = \frac{3}{23}

Divide the numbers

b^{3} = \frac{3}{23}

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

3 b^{3} = 3 \frac{3}{23}

Calculate

b = 3 \frac{3}{23}

Solution

More Steps

Evaluate

3 \frac{3}{23}

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

\frac{3 3}{3 23}

Multiply by the Conjugate

\frac{3 3 \times 3 2 3 ^{2}}{3 23 \times 3 2 3 ^{2}}

Simplify

\frac{3 3 \times 3 529}{3 23 \times 3 2 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

33 \times 3529

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

3 3 \times 529

Calculate the product

31587

\frac{3 1587}{3 23 \times 3 2 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

323 \times 3 2 3^{2}

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

3 23 \times 2 3^{2}

Calculate the product

3 2 3^{3}

Reduce the index of the radical and exponent with 3

23

\frac{3 1587}{23}

b = \frac{3 1587}{23}

Alternative Form

b \approx 0.507144

Show Solution