Question

which number makes the equation below true? $sqrt3{7}=5$ $sqrt3{27}=3$ $sqrt3{64}=4$ a 25 b 50 c 75 d 125

Explanation:

Step1: Cube both sides of equation

To solve for $T$, cube each side:
$$(\sqrt[3]{T})^3 = 5^3$$

Step2: Simplify to find $T$

The cube and cube root cancel, calculate $5^3$:
$$T = 5 \times 5 \times 5 = 125$$

Answer:

D. 125