Solve m^22520/1-3

Question

Simplify the expression

2520 m^{2} - 3

Evaluate

m^{2} \times \frac{2520}{1} - 3

Divide the terms

m^{2} \times 2520 - 3

Solution

2520 m^{2} - 3

Show Solution

3 (840 m^{2} - 1)

Evaluate

m^{2} \times \frac{2520}{1} - 3

Divide the terms

m^{2} \times 2520 - 3

Use the commutative property to reorder the terms

2520 m^{2} - 3

Solution

3 (840 m^{2} - 1)

Show Solution

m_{1} = - \frac{210}{420}, m_{2} = \frac{210}{420}

Alternative Form

m_{1} \approx - 0.034503, m_{2} \approx 0.034503

Evaluate

m^{2} \times \frac{2520}{1} - 3

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

m^{2} \times \frac{2520}{1} - 3 = 0

Divide the terms

m^{2} \times 2520 - 3 = 0

Use the commutative property to reorder the terms

2520 m^{2} - 3 = 0

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

2520 m^{2} = 0 + 3

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

2520 m^{2} = 3

Divide both sides

\frac{2520 m ^{2}}{2520} = \frac{3}{2520}

Divide the numbers

m^{2} = \frac{3}{2520}

Cancel out the common factor 3

m^{2} = \frac{1}{840}

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

m = \pm \frac{1}{840}

Simplify the expression

More Steps

Evaluate

\frac{1}{840}

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

\frac{1}{840}

Simplify the radical expression

\frac{1}{840}

Simplify the radical expression

More Steps

Evaluate

840

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

4 \times 210

Write the number in exponential form with the base of 2

2^{2} \times 210

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

2^{2} \times 210

Reduce the index of the radical and exponent with 2

2210

\frac{1}{2 210}

Multiply by the Conjugate

\frac{210}{2 210 \times 210}

Multiply the numbers

More Steps

Evaluate

2210 \times 210

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

2 \times 210

Multiply the terms

420

\frac{210}{420}

m = \pm \frac{210}{420}

Separate the equation into 2 possible cases

m = \frac{210}{420} m = - \frac{210}{420}

Solution

m_{1} = - \frac{210}{420}, m_{2} = \frac{210}{420}

Alternative Form

m_{1} \approx - 0.034503, m_{2} \approx 0.034503

Show Solution