Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

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

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

Step 1.2

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

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

Step 1.3

Multiply $- 1$ by $7$ .

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

Step 2

Simplify the expression.

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Step 2.1

Subtract $7$ from $10$ .

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

Step 2.2

Add $3$ and $1$ .

$4^{2}$

Step 2.3

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

$16$