Solve m^22520/2-8

Question

Simplify the expression

1260 m^{2} - 8

Evaluate

m^{2} \times \frac{2520}{2} - 8

Divide the terms

More Steps

Evaluate

\frac{2520}{2}

Reduce the numbers

\frac{1260}{1}

Calculate

1260

m^{2} \times 1260 - 8

Solution

1260 m^{2} - 8

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Factor the expression

4 (315 m^{2} - 2)

Evaluate

m^{2} \times \frac{2520}{2} - 8

Divide the terms

More Steps

Evaluate

\frac{2520}{2}

Reduce the numbers

\frac{1260}{1}

Calculate

1260

m^{2} \times 1260 - 8

Use the commutative property to reorder the terms

1260 m^{2} - 8

Solution

4 (315 m^{2} - 2)

Show Solution

Find the roots

m_{1} = - \frac{70}{105}, m_{2} = \frac{70}{105}

Alternative Form

m_{1} \approx - 0.079682, m_{2} \approx 0.079682

Evaluate

m^{2} \times \frac{2520}{2} - 8

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

m^{2} \times \frac{2520}{2} - 8 = 0

Divide the terms

More Steps

Evaluate

\frac{2520}{2}

Reduce the numbers

\frac{1260}{1}

Calculate

1260

m^{2} \times 1260 - 8 = 0

Use the commutative property to reorder the terms

1260 m^{2} - 8 = 0

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

1260 m^{2} = 0 + 8

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

1260 m^{2} = 8

Divide both sides

\frac{1260 m ^{2}}{1260} = \frac{8}{1260}

Divide the numbers

m^{2} = \frac{8}{1260}

Cancel out the common factor 4

m^{2} = \frac{2}{315}

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

m = \pm \frac{2}{315}

Simplify the expression

More Steps

Evaluate

\frac{2}{315}

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

\frac{2}{315}

Simplify the radical expression

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Evaluate

315

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

9 \times 35

Write the number in exponential form with the base of 3

3^{2} \times 35

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

3^{2} \times 35

Reduce the index of the radical and exponent with 2

335

\frac{2}{3 35}

Multiply by the Conjugate

\frac{2 \times 35}{3 35 \times 35}

Multiply the numbers

More Steps

Evaluate

2 \times 35

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

2 \times 35

Calculate the product

70

\frac{70}{3 35 \times 35}

Multiply the numbers

More Steps

Evaluate

335 \times 35

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

3 \times 35

Multiply the terms

105

\frac{70}{105}

m = \pm \frac{70}{105}

Separate the equation into 2 possible cases

m = \frac{70}{105} m = - \frac{70}{105}

Solution

m_{1} = - \frac{70}{105}, m_{2} = \frac{70}{105}

Alternative Form

m_{1} \approx - 0.079682, m_{2} \approx 0.079682

Show Solution