Question

2 find the smallest number subtract from 4366 to make make it perfect square find the square find the square of obtained number. ​

Answer 1

Step-by-step explanation:

try to find the square root of the given number 5607 by using Division method.

747∣∣∣∣56¯¯¯¯¯07¯¯¯¯¯−49¯¯¯¯¯¯¯¯¯¯¯¯¯144∣∣∣∣∣707−576−−−−131¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Therefore, 131 is the required least number.

Now, we will subtract the remainder i.e. 131 from the given number.

Hence, we get,

(5607−131)=5476

Now, we will find the square root of this number either by the division method above or by doing its prime factorization.

Prime factorization of 5476 is:

2|2|37|37||547627381369371

Hence, 5476 can be written as:

5476=2×2×37×37

Now, we are required to find the square root, so we will take only one prime number out of a pair of the same prime numbers.

⇒5476−−−−√=2×37

Multiplying the terms, we get

⇒5476−−−−√=74

Hence, the square root of 5476 is 74.