Solve 8-m^2021 - ScanMath

Question

Simplify the expression

8 - 21 m^{2}

Evaluate

8 - m^{2} \times 21

Solution

8 - 21 m^{2}

Show Solution

m_{1} = - \frac{2 42}{21}, m_{2} = \frac{2 42}{21}

Alternative Form

m_{1} \approx - 0.617213, m_{2} \approx 0.617213

Evaluate

8 - m^{2} \times 21

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

8 - m^{2} \times 21 = 0

Use the commutative property to reorder the terms

8 - 21 m^{2} = 0

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

- 21 m^{2} = 0 - 8

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

- 21 m^{2} = - 8

Change the signs on both sides of the equation

21 m^{2} = 8

Divide both sides

\frac{21 m ^{2}}{21} = \frac{8}{21}

Divide the numbers

m^{2} = \frac{8}{21}

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

m = \pm \frac{8}{21}

Simplify the expression

More Steps

Evaluate

\frac{8}{21}

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

\frac{8}{21}

Simplify the radical expression

More Steps

Evaluate

8

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

4 \times 2

Write the number in exponential form with the base of 2

2^{2} \times 2

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

2^{2} \times 2

Reduce the index of the radical and exponent with 2

22

\frac{2 2}{21}

Multiply by the Conjugate

\frac{2 2 \times 21}{21 \times 21}

Multiply the numbers

More Steps

Evaluate

2 \times 21

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

2 \times 21

Calculate the product

42

\frac{2 42}{21 \times 21}

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

\frac{2 42}{21}

m = \pm \frac{2 42}{21}

Separate the equation into 2 possible cases

m = \frac{2 42}{21} m = - \frac{2 42}{21}

Solution

m_{1} = - \frac{2 42}{21}, m_{2} = \frac{2 42}{21}

Alternative Form

m_{1} \approx - 0.617213, m_{2} \approx 0.617213

Show Solution