Simplify (- square root of 3)^2

${(- \sqrt{3})}^{2}$

Step 1

Simplify the expression.

Apply the product rule to $- \sqrt{3}$ .

${(- 1)}^{2} {\sqrt{3}}^{2}$

Raise $- 1$ to the power of $2$ .

$1 {\sqrt{3}}^{2}$

Multiply ${\sqrt{3}}^{2}$ by $1$ .

${\sqrt{3}}^{2}$

Step 2

Rewrite ${\sqrt{3}}^{2}$ as $3$ .

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{3}$ as $3^{\frac{1}{2}}$ .

${(3^{\frac{1}{2}})}^{2}$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$3^{\frac{1}{2} \cdot 2}$

Combine $\frac{1}{2}$ and $2$ .

$3^{\frac{2}{2}}$

Cancel the common factor of $2$ .

Cancel the common factor.

$3^{\frac{2}{2}}$

Rewrite the expression.

$3^{1}$

Evaluate the exponent.

$3$