Square and Cube Roots Quiz Set 018

The given expression is same as $√{3 + √1^2}$, which becomes $√{3 + 1}$, or $√4$ which gives 2 as the answer. Please note that squares of as many numbers should be always on your tips.

By inspection, we can easily see that the formula (a - b) × (a + b) can be used to simplify like this: $√{(22)^2 - (4√2)^2}$, which is same as $√{484 - (4^2 × 2)}$, which is same as $√{484 - 32}$ = $√452$.

Let the number be n. So ${1/4} × √n$ = 0.7, which gives $√n$ = 4 × 0.7 = 2.8. so n = $2.8^2$ = 7.84.

By inspection, $4x + √{16x^2 - 8x + 1}$ is same as $4x + √{({1 - 4x})^2}$, which is same as 4x + (1 - 4x) = 1.

We can see that 0.09 × 0.09 = 0.0081, so square root is 0.09.