The question in the image asks:

What is the least number which must be added to 1750 so as to get a perfect square? Also, find the square root of the perfect square so obtained.

Steps to Solve:

1. Finding the nearest perfect square greater than 1750:

   • Find the square root of 1750, which is approximately √1750 ≈ 41.83.
   • The next integer greater than 41.83 is 42.
   • The square of 42 is $42^2 = 1764$.

2. Determining the number to add:

   • To make 1750 a perfect square, the difference between 1764 and 1750 must be added. $1764 - 1750 = 14$
   • So, the least number to add to 1750 is 14.

3. Square root of the perfect square obtained:

   • The perfect square is 1764, and its square root is: $\sqrt{1764} = 42$

Final Answer:

• The least number to add is 14.
• The square root of the perfect square (1764) is 42.

Would you like further clarification or details on any part of the solution?

Here are 5 related questions to expand your understanding:

1. What is the smallest number that can be subtracted from 1750 to make it a perfect square?
2. How do you determine if a given number is a perfect square?
3. What is the next perfect square greater than 1764?
4. Can you find the least number to add to 1000 to make it a perfect square?
5. How can you estimate the square root of a non-perfect square using a calculator?

Tip: To find the least number to add or subtract to make a number a perfect square, always check the nearest perfect squares and compare the differences!