Finding Least Number for Perfect Square
To find the least number that must be added to 435 to make it a perfect square, we need to identify the next perfect square immediately following 435 and determine the difference.
Nearest Perfect Square Calculation
We look for the smallest perfect square greater than 435.
- Calculate the square root of 435 or test nearby integers:
- $20 \times 20 = 20^2 = 400$
- $21 \times 21 = 21^2 = 441$
The number 435 falls between the perfect squares 400 and 441. The least perfect square greater than 435 is 441.
Determining the Number to Add
The least number to be added is the difference between the target perfect square (441) and the given number (435).
Difference = Next Perfect Square - Given Number
$ \text{Number to add} = 441 - 435 $
$ \text{Number to add} = 6 $
Therefore, the least number to be added to 435 to obtain a perfect square is 6.
Similar Questions
If (584)2 = 341056, then the value of square root of 34.1056 is:
- What is the square root of 6561?
- What is the square root of 576?
- Evaluate: $\sqrt{93 + \sqrt{32 + \sqrt{274 + \sqrt{225}}}}$
- The least number that must be subtracted from 7577 to get a perfect square is:
- Square root of 0.9 is equal to
Important Questions from Square and Square Root
The sum of the squares of two positive integers is 306. If the square of the larger integer is 25 times the smaller integer, then the difference between the two integers is
- \(\sqrt{625.0025 }=\)
The least number which is a perfect square and is divisible by each of the numbers 4, 10 and 12 is :
The addition of the squares of two numbers in squares is 221. What are those numbers?
Find the value of \(\sqrt{9604} \).
