The square root of 1.69 is: a) 1.3 b) 2.6 c) 13 d) 26
The Correct Answer and Explanation is:
The correct answer is 1.3.
To determine the square root of 1.69, we need to find a number that, when multiplied by itself, results in 1.69. The square root of a number x is defined as the value y such that y × y equals x. In this case, we are looking for a number y such that y × y equals 1.69.
Let’s verify each option by squaring them:
1.3 × 1.3 = 1.69 2.6 × 2.6 = 6.76 13 × 13 = 169 26 × 26 = 676
Since 1.3 squared gives exactly 1.69, the correct choice is 1.3.
Understanding square roots is crucial in mathematics. Square roots are widely used in algebra, geometry, and various scientific fields. They help in solving quadratic equations, determining dimensions in construction and engineering, and analyzing data distributions in statistics. The concept of square roots also appears in physics, particularly in equations involving acceleration, force, and wave mechanics.
For practical applications, square roots play a role in calculating distances. For instance, in the Pythagorean theorem, square roots help determine the length of a triangle’s hypotenuse when the other sides are known. In finance, they appear in calculating standard deviations to measure volatility in stock markets.
The ability to find square roots extends beyond simple numerical operations. Scientists and engineers often use them in designing structures, developing algorithms, and making predictions based on mathematical models. Mastering square roots enhances problem-solving skills and contributes to a deeper understanding of mathematical relationships. Recognizing the importance of such calculations strengthens logical reasoning and precision in computations.
