Solve 2g^29g-11 - ScanMath

Question

Simplify the expression

18 g^{3} - 11

Evaluate

2 g^{2} \times 9 g - 11

Solution

More Steps

Evaluate

2 g^{2} \times 9 g

Multiply the terms

18 g^{2} \times g

Multiply the terms with the same base by adding their exponents

18 g^{2 + 1}

Add the numbers

18 g^{3}

18 g^{3} - 11

Show Solution

g = \frac{3 132}{6}

Alternative Form

g \approx 0.848607

Evaluate

2 g^{2} \times 9 g - 11

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

2 g^{2} \times 9 g - 11 = 0

Multiply

More Steps

Multiply the terms

2 g^{2} \times 9 g

Multiply the terms

18 g^{2} \times g

Multiply the terms with the same base by adding their exponents

18 g^{2 + 1}

Add the numbers

18 g^{3}

18 g^{3} - 11 = 0

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

18 g^{3} = 0 + 11

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

18 g^{3} = 11

Divide both sides

\frac{18 g ^{3}}{18} = \frac{11}{18}

Divide the numbers

g^{3} = \frac{11}{18}

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

3 g^{3} = 3 \frac{11}{18}

Calculate

g = 3 \frac{11}{18}

Solution

More Steps

Evaluate

3 \frac{11}{18}

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

\frac{3 11}{3 18}

Multiply by the Conjugate

\frac{3 11 \times 3 1 8 ^{2}}{3 18 \times 3 1 8 ^{2}}

Simplify

\frac{3 11 \times 3 3 12}{3 18 \times 3 1 8 ^{2}}

Multiply the numbers

More Steps

Evaluate

311 \times 3312

Multiply the terms

3132 \times 3

Use the commutative property to reorder the terms

33132

\frac{3 3 132}{3 18 \times 3 1 8 ^{2}}

Multiply the numbers

More Steps

Evaluate

318 \times 3 1 8^{2}

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

3 18 \times 1 8^{2}

Calculate the product

3 1 8^{3}

Reduce the index of the radical and exponent with 3

18

\frac{3 3 132}{18}

Cancel out the common factor 3

\frac{3 132}{6}

g = \frac{3 132}{6}

Alternative Form

g \approx 0.848607

Show Solution