Basic Math Examples

$4 b^{2} = 8$

Step 1

Divide each term in $4 b^{2} = 8$ by $4$ and simplify.

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Step 1.1

Divide each term in $4 b^{2} = 8$ by $4$ .

$\frac{4 b^{2}}{4} = \frac{8}{4}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $4$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{4 b^{2}}{4} = \frac{8}{4}$

Step 1.2.1.2

Divide $b^{2}$ by $1$ .

$b^{2} = \frac{8}{4}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $8$ by $4$ .

$b^{2} = 2$

Step 2

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$b = \pm \sqrt{2}$

Step 3

The complete solution is the result of both the positive and negative portions of the solution.

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Step 3.1

First, use the positive value of the $\pm$ to find the first solution.

$b = \sqrt{2}$

Step 3.2

Next, use the negative value of the $\pm$ to find the second solution.

$b = - \sqrt{2}$

Step 3.3

The complete solution is the result of both the positive and negative portions of the solution.

$b = \sqrt{2}, - \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$b = \sqrt{2}, - \sqrt{2}$

Decimal Form:

$b = 1.41421356 \dots, - 1.41421356 \dots$