Cards marked with number 3, 4, 5, ?, 50 are placed in a box and mixed thoroughly. A card is drawn at random from the box. Find the probability that the selected card bears a perfect square number. …

Show that for odd positive integer to be a perfect square, it should be of the form 8k+1.

Let the three consecutive odd number be x – 2, x and x + 2. ∴ 200 < (x – 2) + x + (x + 2) < 400 (Given) ⇒ 200 < 3x < 400 Perfect squares lying between 200 and 400 are 225, 256, 289, 324 and 361. From …

Here, 2 and 3 do not occur in pairs. To be a perfect square, every prime factor has to be in pairs. Hence. the smallest number by which 12150 must be multiplied is 2 x 3, i.e. by 6. (iii) 7688 = 2 x 2 x 2 x 31 x …

prove:root n is irrational,if n is not a perfect square - Maths - Real Numbers

The number of children who will be left out in this arrangement has to be calculated. That is, the number which should be subtracted from 500 to make it a perfect square has to be calculated.

So, following same steps for rest of the lockers, we find that, cases where the locker number is perfect square are actually the locker numbers that remain open when this process is done till 1000 th …

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Cards marked with numbers 3,4,5 50 are placed in a bag and mixed thoroughly one card is drawn at random from the bag Find the probability that number on the card drawn is: (a) Divisible by 7 (b) A …

8 p q Taking whole square on both hand side we get 8 p 2 q 2 1 p 2 8 q 2 So the square of p is an even number since it is eight times something. So p itself also a even number .