Question

find the value of (sqrt3{-125}).

Explanation:

Step1: Identify cube root property

Recall that $\sqrt[3]{-a} = -\sqrt[3]{a}$ for real $a$.

Step2: Calculate positive cube root

$\sqrt[3]{125} = 5$ since $5^3 = 5 \times 5 \times 5 = 125$.

Step3: Apply negative sign

$\sqrt[3]{-125} = -\sqrt[3]{125} = -5$

Answer:

$-5$