Math, asked by nishabgp2018gmailcom, 1 year ago

find the latest perfect square number which is exactly divisible by 8, 9 and 10.

Answers

Answered by Raghav3333
1
hye

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aim : we have to Find the latest perfect square number which is exactly divisible by 8, 9 and 10.

so we first find the lcm of 8 ,9 and 10

=>8 = 2*2*2

=>9 = 3*3

=>10 = 2*5

lcm => 2*2*2*3*3*5


Now for it to be a perfect square, it should have even powers

=>so lets aplly this formula

=>arlrady it is 2
³ *3²*5

=> 2² *2² *3²*5²

=>4*4*9*25

=>3600

∴nswer is 3600

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hope it helps u..

Anonymous: you said it is already 2^3*3^2*5. So how does it become 2^2*2^2*3^2*5^2 in the next step??
Raghav3333: Now for it to be a perfect square, it should have even powers
Raghav3333: it was 2*2*2 which i made 2*2*2*2 to make it a a even poweer
Anonymous: ok
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