Solve g^2-8 - ScanMath

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Type your math problem... g^2-8

Question

Find the roots

g_{1} = - 22, g_{2} = 22

Alternative Form

g_{1} \approx - 2.828427, g_{2} \approx 2.828427

Evaluate

g^{2} - 8

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

g^{2} - 8 = 0

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

g^{2} = 0 + 8

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

g^{2} = 8

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

g = \pm 8

Simplify the 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

g = \pm 22

Separate the equation into 2 possible cases

g = 22 g = - 22

Solution

g_{1} = - 22, g_{2} = 22

Alternative Form

g_{1} \approx - 2.828427, g_{2} \approx 2.828427

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