Solve 108m 10m-8 - ScanMath

Question

Simplify the expression

1080 m^{2} - 8

Evaluate

108 m \times 10 m - 8

Solution

More Steps

Evaluate

108 m \times 10 m

Multiply the terms

1080 m \times m

Multiply the terms

1080 m^{2}

1080 m^{2} - 8

Show Solution

Factor the expression

8 (135 m^{2} - 1)

Evaluate

108 m \times 10 m - 8

Multiply

More Steps

Evaluate

108 m \times 10 m

Multiply the terms

1080 m \times m

Multiply the terms

1080 m^{2}

1080 m^{2} - 8

Solution

8 (135 m^{2} - 1)

Show Solution

Find the roots

m_{1} = - \frac{15}{45}, m_{2} = \frac{15}{45}

Alternative Form

m_{1} \approx - 0.086066, m_{2} \approx 0.086066

Evaluate

108 m \times 10 m - 8

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

108 m \times 10 m - 8 = 0

Multiply

More Steps

Multiply the terms

108 m \times 10 m

Multiply the terms

1080 m \times m

Multiply the terms

1080 m^{2}

1080 m^{2} - 8 = 0

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

1080 m^{2} = 0 + 8

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

1080 m^{2} = 8

Divide both sides

\frac{1080 m ^{2}}{1080} = \frac{8}{1080}

Divide the numbers

m^{2} = \frac{8}{1080}

Cancel out the common factor 8

m^{2} = \frac{1}{135}

Take the root of both sides of the equation and remember to use both positive and negative roots

m = \pm \frac{1}{135}

Simplify the expression

More Steps

Evaluate

\frac{1}{135}

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

\frac{1}{135}

Simplify the radical expression

\frac{1}{135}

Simplify the radical expression

More Steps

Evaluate

135

Write the expression as a product where the root of one of the factors can be evaluated

9 \times 15

Write the number in exponential form with the base of 3

3^{2} \times 15

The root of a product is equal to the product of the roots of each factor

3^{2} \times 15

Reduce the index of the radical and exponent with 2

315

\frac{1}{3 15}

Multiply by the Conjugate

\frac{15}{3 15 \times 15}

Multiply the numbers

More Steps

Evaluate

315 \times 15

When a square root of an expression is multiplied by itself,the result is that expression

3 \times 15

Multiply the terms

45

\frac{15}{45}

m = \pm \frac{15}{45}

Separate the equation into 2 possible cases

m = \frac{15}{45} m = - \frac{15}{45}

Solution

m_{1} = - \frac{15}{45}, m_{2} = \frac{15}{45}

Alternative Form

m_{1} \approx - 0.086066, m_{2} \approx 0.086066

Show Solution