Question

If $\sqrt[3]{32744}=2p+2$, find the value of p?

• A. 2
• B. 3
• C. 6
• D. 12

Answer 1

The correct option is C 6

By estimation method, grouping three numbers from the right, $2\underset{–}{744}$
Units digit will be 4 as the units digit of the first group is 4 and tens digit will be 1 as the second group has 2 and the only cube number less than 2 is 1.
So, $\sqrt[3]{32744}=14$
Given, $\sqrt[3]{32744}=2p+2$
$⟹$ $2p+2=142p=14-2=12$
$p=12÷2=6$