Evaluate square root of 7^2+1^2

$\sqrt{7^{2} + 1^{2}}$

Step 1

Raise $7$ to the power of $2$ .

$\sqrt{49 + 1^{2}}$

Step 2

One to any power is one.

$\sqrt{49 + 1}$

Step 3

Add $49$ and $1$ .

$\sqrt{50}$

Step 4

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

Factor $25$ out of $50$ .

$\sqrt{25 (2)}$

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

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

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

Step 5

Pull terms out from under the radical.

$5 \sqrt{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt{2}$

Decimal Form:

$7.07106781 \dots$

Related Questions