Simplify (10- square root of 49+1)^2

${(10 - \sqrt{49} + 1)}^{2}$

Simplify each term.

Rewrite $49$ as $7^{2}$ .

${(10 - \sqrt{7^{2}} + 1)}^{2}$

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

${(10 - 1 \cdot 7 + 1)}^{2}$

Multiply $- 1$ by $7$ .

${(10 - 7 + 1)}^{2}$

Simplify the expression.

Subtract $7$ from $10$ .

${(3 + 1)}^{2}$

Add $3$ and $1$ .

$4^{2}$

Raise $4$ to the power of $2$ .

$16$