00:00abc are positive integers
00:01a divided by b divided by c equals 2 divided by 3 divided by 5
00:04since
00:05square root of 2 times a plus square root
00:085 times c divided by the square root of 3 times b
00:10Which of the following expressions is equal to?
00:12They asked us, "What do you mean?"
00:13Friends, can't we write it like this?
00:15a divided by 2
00:17That is equal to b divided by 3
00:19That is equal to c divided by 5
00:20that is equal to k, our constant of proportionality.
00:22This is a proportion.
00:25So now when we get to this point...
00:27a equals 2 times k
00:29By taking this and that, friends
00:32Our b is equal to 3 times k.
00:36When we take this and that
00:38And our c is equal to 5 times k.
00:41Will we find it? Yes, we will.
00:43Okay, let's write it instead, friends.
00:44now square root of 2 times a
00:47plus square root of 5 times c
00:50divided by the square root
00:513 times b
00:53inside the square root, friends
00:55If we write 'a' as 2k
00:562 times 2k
00:59plus square root of 5 times c instead
01:02If we write to 5k
01:05we wrote section
01:06square root of 3 times
01:10If we write 3k instead of b
01:12Okay, we wrote it.
01:13So what happened, guys?
01:142 squared
01:15How do we get the square root, guys?
01:16We take the square root and it comes out as 2.
01:18So the answer will be as follows:
01:202 times the square root of k
01:22plus
01:24Because it's the square of 5.
01:25He was going out at 5.
01:26Right, guys?
01:27Yes, 5 square root of k
01:29we leave it inside
01:30Because we don't know what happened.
01:32It will stay that way
01:33What is the square of 3, friends?
01:35It comes out as 3.
01:363 times the square root of k
01:38And that's it.
01:392-5 plus 7
01:40square root of k divided by
01:433 square root of k
01:44Multiply the square roots of k together and it takes away because it's a division case.
01:48because it's already a ratio
01:50What was it, guys?
01:51Of course, our answer was independent of our proportionality constant.
01:54We find our answer to be 7 divided by 3.
01:56We say the answer is Bolu.
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