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Algebra Examples

$\sqrt{x} + 2 = 4$

Step 1

Move all terms not containing

$\sqrt{x}$ to the right side of the equation.

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Step 1.1

Subtract

$2$ from both sides of the equation.

$\sqrt{x} = 4 - 2$

Step 1.2

Subtract

$2$ from

$4$ .

$\sqrt{x} = 2$

$\sqrt{x} = 2$

Step 2

To remove the radical on the left side of the equation, square both sides of the equation.

${\sqrt{x}}^{2} = 2^{2}$

Step 3

Simplify each side of the equation.

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Step 3.1

Use

$\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite

$\sqrt{x}$ as

$x^{\frac{1}{2}}$ .

${(x^{\frac{1}{2}})}^{2} = 2^{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Simplify

${(x^{\frac{1}{2}})}^{2}$ .

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Step 3.2.1.1

Multiply the exponents in

${(x^{\frac{1}{2}})}^{2}$ .

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Step 3.2.1.1.1

Apply the power rule and multiply exponents,

${(a^{m})}^{n} = a^{m n}$ .

$x^{\frac{1}{2} \cdot 2} = 2^{2}$

Step 3.2.1.1.2

Cancel the common factor of

$2$ .

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Step 3.2.1.1.2.1

Cancel the common factor.

$x^{\frac{1}{2} \cdot 2} = 2^{2}$

Step 3.2.1.1.2.2

Rewrite the expression.

$x^{1} = 2^{2}$

$x^{1} = 2^{2}$

$x^{1} = 2^{2}$

Step 3.2.1.2

Simplify.

$x = 2^{2}$

$x = 2^{2}$

$x = 2^{2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Raise

$2$ to the power of

$2$ .

$x = 4$

$x = 4$

$x = 4$

Enter YOUR Problem

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$