Question

The Square root of 289 is?
(a) 13
(b) 17
(c) 27
(d) 23

Answer 1

Hint: To solve this question we will try to determine the value of the square root of the given number 289. The square root of a number is a value that, when multiplied by itself, gives the original number.

Complete step-by-step answer:

We will first of all define what is the square root of a number. The square root of a number is a value that, when multiplied by itself, gives the original number. Here the given number is 289.To find the Square root of the given number, we will right the multiples of the given number, that is 289,
Trying to determine the possible factors of 289, we get,
Prime Factorization of 289 ⟹289 = 17x17.
Since, 17 is a prime number we can’t write further factors of 17.
Since 17 occurs two times in the factor of 289, taking both the factors common as one, we get 289 is a perfect square number, and 17 is the perfect square of the given number 289.
Therefore, we get that 17 is the square root of 289.
Hence, matching from the given options we get (b) option is the correct answer.

Note: The possibility of error in this type of question is that you can mistakenly do wrong factorization of the given number which would give the wrong answer as a result.