Basic Math Examples

$\sqrt[4]{36} - \sqrt{25} = z$

Step 1

Rewrite the equation as $z = \sqrt[4]{36} - \sqrt{25}$ .

$z = \sqrt[4]{36} - \sqrt{25}$

Step 2

Simplify each term.

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Step 2.1

Rewrite $36$ as $6^{2}$ .

$z = \sqrt[4]{6^{2}} - \sqrt{25}$

Step 2.2

Rewrite $\sqrt[4]{6^{2}}$ as $\sqrt{\sqrt{6^{2}}}$ .

$z = \sqrt{\sqrt{6^{2}}} - \sqrt{25}$

Step 2.3

Pull terms out from under the radical, assuming positive real numbers.

$z = \sqrt{6} - \sqrt{25}$

Step 2.4

Rewrite $25$ as $5^{2}$ .

$z = \sqrt{6} - \sqrt{5^{2}}$

Step 2.5

Pull terms out from under the radical, assuming positive real numbers.

$z = \sqrt{6} - 1 \cdot 5$

Step 2.6

Multiply $- 1$ by $5$ .

$z = \sqrt{6} - 5$

Step 3

The result can be shown in multiple forms.

Exact Form:

$z = \sqrt{6} - 5$

Decimal Form:

$z = - 2.55051025 \dots$