Question

what is the least number by which 2700 needs to be divided to make it a perfect square number?

Answer 1

Answer:

It must be divided by 3 so that it can be square of 30.

Step-by-step explanation:

first take lcm of 2700.

so make pairs in two numbers because you have to find perfect square.

so one 3 pairs will not be their so u have to divide that number by 2700.

which will be 900

then take lcm of 900 and make pairs of the numbers(its factors)

Or

u can remove one 3 which was not in pair from the factors of 2700 if u don't want to take lcm of 900 again .

so u will left with 3*3(one pair) 2*2 (second pair) 5*5 (third pair)

as they are in pairs so take one number as common

3*2*5= 30

so the number 2700 should be multiplied by 3 to get a perfect square and the number is square of 30.

In this type of questions u just have to take lcm of that number which is given in the question and the number which is not in pair so multiply/divide (whatever is given in the question) that number by the number given in question. and then take the lcm of the number which u have got when u have multiplied r divide those numbers.

i hope it is helpful for u if yes then dont forget to like it

Thank You