Math, asked by insiyahr, 1 year ago

find the least no by which 1392 should be multiplied to make it a perfect square. show methods


insiyahr: pls ans fast
insiyahr: anyne who ans first will get a iphone 5
insiyahr: i m jst kidding there is no iphone XD
insiyahr: PLS ANS

Answers

Answered by mysticd
16
write the given number as product of the prime numbers
1392 = 2*2*2*2*3*29
= (2*2)*(2*2) *3 *29
3 and 29 are not have pairs
if we multiply the given number with (3*29) it becomes perfect square
1392 *3*29 =2*2*2*2*3*3*29*29
= (2*2*3*29)²
=(348)²

insiyahr: HOW
mysticd: 3*29 =87
mysticd: we multiplied with 3*29 =87 that is we did
mysticd: is it clear
insiyahr: NO
insiyahr: I WANT EASY METHOD
mysticd: what is ur doubt
mysticd: wait Angela1234 giving answer
Angela1234: Actually sir's answer is right 3*29 is what 87.
Angela1234: Sir or else u edit ur answer. And include lastly that 87 is the least number
Answered by Angela1234
16
For such type of problems,
First you have to factorise the number given
Factorise 1392
1392 = 2*2*2*2*3*29.
So find the numbers without pairs..
That is 3 and 29
So as you have two numbers multiply both.
3 * 29 = 87.
Now you have got the number which you have to multiply with 1392 to become perfect square.
Therefore we will check it out!
1392 * 87 = 121104, which is a perfect square.
Thus, the answer is 87.
Thanks

mysticd: :)
Angela1234: Sir I am glad u liked my way of answering!
mysticd: but he wants easy method
mysticd: nice work, keep it up
Angela1234: This is the simplest of simplest method
Angela1234: Thank u sir :)
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