Finite Math Examples

$\sqrt{\sqrt{625} + \sqrt{625}}$

Step 1

Simplify and reorder the polynomial.

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Step 1.1

Rewrite $625$ as $25^{2}$ .

$\sqrt{\sqrt{25^{2}} + \sqrt{625}}$

Step 1.2

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

$\sqrt{25 + \sqrt{625}}$

Step 1.3

Rewrite $625$ as $25^{2}$ .

$\sqrt{25 + \sqrt{25^{2}}}$

Step 1.4

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

$\sqrt{25 + 25}$

Step 1.5

Add $25$ and $25$ .

$\sqrt{50}$

Step 1.6

Rewrite $50$ as $5^{2} \cdot 2$ .

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Step 1.6.1

Factor $25$ out of $50$ .

$\sqrt{25 (2)}$

Step 1.6.2

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

$\sqrt{5^{2} \cdot 2}$

Step 1.7

Pull terms out from under the radical.

$5 \sqrt{2}$

Step 2

The expression is constant, which means it can be rewritten with a factor of $x^{0}$ . The degree is the largest exponent on the variable.

$0$