Question
Sum of squares of two numbers is 145. If square root of one number is 3, find the other number.
- 136
- 9
- 64
- 8
Hint:
Squares, as well as square roots both ideas, are diametrically opposed to one another. Squares are the numbers that are produced when a value is multiplied by itself. In contrast, a number's square root is a value that, when multiplied by itself, returns the original value.
In this question we have given that square root of one number is 3, so definitely one number is 9x9. We have to find the other number.
The correct answer is: 8
Now in the question we have given the sum of squares of two numbers is 145. Out of this the one number has the square root of 3 is also given, so we can identify that one number is 9.

In this question, we were given the number 145 and we had to find the two numbers which were summed up to get 145. The condition given was the square root of one number is 3. So using the square concept, we found out that the two numbers were 8 and 9 when squared gives the value 145.
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