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.
Important Questions from Square and Square Root
The value of √144 + √0.0225 - √9 =
If the positive square root of (5 + 3√2) (5 - 3√2) is α, then what is the positive square root of 8 + 2α ?
For what values of m, is mx2 + mx + 8x + 9 a perfect square ?
- Square root of 0.9 is equal to
The least number which is a perfect square and is divisible by each of the numbers 4, 10 and 12 is :
