Question

question 2

simplify the expression.

\frac{-3 + \sqrt{7}}{\sqrt{4}}

choices:

• \frac{-10\sqrt{3} - 20\sqrt{5}}{17}
• \frac{5 - 5\sqrt{2}}{4}
• \frac{-3 + \sqrt{7}}{2}
• \frac{5 + 6\sqrt{6}}{4}

Explanation:

⚡ Using what you learned: Roots and Radicals

Step 1: Simplify the denominator

Evaluate the square root in the denominator:

$$ \sqrt{4} = 2 $$

Step 2: Rewrite the expression

Substitute the simplified denominator back into the original expression:

$$ \frac{-3 + \sqrt{7}}{\sqrt{4}} = \frac{-3 + \sqrt{7}}{2} $$

Answer:

$$ \frac{-3 + \sqrt{7}}{2} $$