Square and Cube Roots Quiz Set 010

By inspection, $8x + √{25x^2 - 10x + 1}$ is same as $8x + √{({1 - 5x})^2}$, which is same as 8x + (1 - 5x) = 1 + 3x = 3.06.

We can see that √(378) × √(6048) is same as √(2 × 3 × 3 × 3 × 7 ) × √(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 ) which equals √(2⁶ × 3⁶ × 7²), which equals (2³ × 3³ × 7¹), which gives 1512.

The given expression can be simplified to $0.0196 × x$ = $1.4^2$, which gives x = ${1.4^2}/0.0196$, which is same as $1.96/0.0196$ which gives 100.

The given expression can be simplified to $0.0016 × x$ = $0.4^2$, which gives x = ${0.4^2}/0.0016$, which is same as $0.16/0.0016$ which gives 100.

The given expression is same as $√{3 + √33^2}$, which becomes $√{3 + 33}$, or $√36$ which gives 6 as the answer. Please note that squares of as many numbers should be always on your tips.