Question

check whether the given numbers are perfect squares or not,then fimd the smallest number by which the given number must be divided so as to get a perfect square in each case.also find the square root of number obtained:
Irrelative answers will be reported
pls answer fast

(a) 624
(b) 2925
(c) 396​

Answer 1

Answer:

Step-by-step explanation:

(a) 624

By prime factorisation,

624 = 2 x 2 x 2 x 2 x 3 x 13

So, this is not a perfect square.

If 3 x 13 (39) is excluded from the prime factorisation of 624, the remaining numbers will make a perfect square number.

Hence 39 is the smallest number that should be divided to make it a perfect square.

ie, 624/39 = 16

Square root of 16 = 4

(b) 2925

By prime factorisation,

2925 = 3 x 3 x 5 x 5 x 13

So, this is not a perfect square.

If 13  is excluded from the prime factorisation of 2925, the remaining numbers will make a perfect square number.

Hence 13 is the smallest number that should be divided to make it a perfect square.

ie, 2925/13 = 225

Square root of 225 = 15

(c)396

By prime factorisation,

396  = 2 x 2 x 3 x 3 x 11

So, this is not a perfect square.

If 11  is excluded from the prime factorisation of 396, the remaining numbers will make a perfect square number.

Hence 11 is the smallest number that should be divided to make it a perfect square.

ie, 396/11 = 36

Square root of 36 = 6

HOPE THIS HELPS......