Square and Cube Roots Quiz Set 011

We can see that 0.06 × 0.06 = 0.0036, so square root is 0.06.

Let the number be n. So ${1/4} × √n$ = 0.9, which gives $√n$ = 4 × 0.9 = 3.6. so n = $3.6^2$ = 12.96.

Let the number of books = n. So pages in one book are also n, and therefore, pages in n books = $n^2$. We have been given $n^2 = 169$, which gives n = 13.

I will give a general solution for any n. $(√n - 1/√n)^2$ is same as $({(√n)^2 - 1}/√n)^2$ which becomes $(n - 1)^2/n$. Putting n = 4, we get ${9/4}$, which is same as: $2{1/4}$.

By inspection, we can easily see that the formula (a - b) × (a + b) can be used to simplify like this: $√{(13)^2 - (5√5)^2}$, which is same as $√{169 - (5^2 × 5)}$, which is same as $√{169 - 125}$ = $√44$.