Solve g^304-33-65

Question

Simplify the expression

4 g^{3} - 98

Evaluate

g^{3} \times 4 - 33 - 65

Use the commutative property to reorder the terms

4 g^{3} - 33 - 65

Solution

4 g^{3} - 98

Show Solution

2 (2 g^{3} - 49)

Evaluate

g^{3} \times 4 - 33 - 65

Use the commutative property to reorder the terms

4 g^{3} - 33 - 65

Subtract the numbers

4 g^{3} - 98

Solution

2 (2 g^{3} - 49)

Show Solution

g = \frac{3 196}{2}

Alternative Form

g \approx 2.904393

Evaluate

g^{3} \times 4 - 33 - 65

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

g^{3} \times 4 - 33 - 65 = 0

Use the commutative property to reorder the terms

4 g^{3} - 33 - 65 = 0

Subtract the numbers

4 g^{3} - 98 = 0

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

4 g^{3} = 0 + 98

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

4 g^{3} = 98

Divide both sides

\frac{4 g ^{3}}{4} = \frac{98}{4}

Divide the numbers

g^{3} = \frac{98}{4}

Cancel out the common factor 2

g^{3} = \frac{49}{2}

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

3 g^{3} = 3 \frac{49}{2}

Calculate

g = 3 \frac{49}{2}

Solution

More Steps

Evaluate

3 \frac{49}{2}

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

\frac{3 49}{3 2}

Multiply by the Conjugate

\frac{3 49 \times 3 2 ^{2}}{3 2 \times 3 2 ^{2}}

Simplify

\frac{3 49 \times 3 4}{3 2 \times 3 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

349 \times 34

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

3 49 \times 4

Calculate the product

3196

\frac{3 196}{3 2 \times 3 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

32 \times 3 2^{2}

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

3 2 \times 2^{2}

Calculate the product

3 2^{3}

Reduce the index of the radical and exponent with 3

2

\frac{3 196}{2}

g = \frac{3 196}{2}

Alternative Form

g \approx 2.904393

Show Solution