Basic Math Examples

$\sqrt[4]{63} - \sqrt{28} + 2 \sqrt{7}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $28$ as $2^{2} \cdot 7$ .

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Step 1.1.1

Factor $4$ out of $28$ .

$\sqrt[4]{63} - \sqrt{4 (7)} + 2 \sqrt{7}$

Step 1.1.2

Rewrite $4$ as $2^{2}$ .

$\sqrt[4]{63} - \sqrt{2^{2} \cdot 7} + 2 \sqrt{7}$

$\sqrt[4]{63} - \sqrt{2^{2} \cdot 7} + 2 \sqrt{7}$

Step 1.2

Pull terms out from under the radical.

$\sqrt[4]{63} - (2 \sqrt{7}) + 2 \sqrt{7}$

Step 1.3

Multiply $2$ by $- 1$ .

$\sqrt[4]{63} - 2 \sqrt{7} + 2 \sqrt{7}$

$\sqrt[4]{63} - 2 \sqrt{7} + 2 \sqrt{7}$

Step 2

Simplify by adding terms.

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Step 2.1

Add $- 2 \sqrt{7}$ and $2 \sqrt{7}$ .

$\sqrt[4]{63} + 0$

Step 2.2

Add $\sqrt[4]{63}$ and $0$ .

$\sqrt[4]{63}$

$\sqrt[4]{63}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt[4]{63}$

Decimal Form:

$2.81731324 \dots$

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