Question

Simplify the question given below and find the value of 'p':

$\text{If}\sqrt[3]{32744}=2p+2$

Answer 1

By estimation method, grouping three numbers from the right, 2 744
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.

$\text{So,}\sqrt[3]{32744}=14$

$\text{Given,}\sqrt[3]{32744}=2p+2$

$\Rightarrow 2p+2=14$

$2p=14-2=12$

$p=12÷2=6$

$p=6$