Question

Find the smallest number by which following
should be divided to get a perfect square
a) 2925 (6) 396 (C) 2800​

Answer 1

Answer:

May be 2800 is the answer

Answer 2

Answer:

a) √25 = 5

117 should be divided to get a perfect square.

b) √36 = 6

11 should be divided to get a perfect square.

c) √400 = 20

7 should be divided to get a perfect square.

Step-by-step explanation:

a) 2925 = 5 × 5 × 117

2925/117 = 5 × 5 × 117/117

25 = (5 × 5) (2 same numbers becomes one number)

√25 = 5

117 should be divided to get a perfect square.

b) 396 = 3 × 3 × 11 × 2 × 2

396/11 = 3 × 3 × 11 × 2 × 2/11

36 = (3 × 3) × (2 × 2)  (2 same numbers becomes one number)

36 = 3 × 2

√36 = 6

11 should be divided to get a perfect square.

c) 2800 = 5 × 5 × 2 × 2 × 2 × 2 × 7

2800/7 = 5 × 5 × 2 × 2 × 2 × 2 × 7/7

400  = (5 × 5) × (2 × 2) ×( 2 × 2)  (2 same numbers becomes one number)

400 = 5 × 2 × 2

√400 = 20

7 should be divided to get a perfect square.

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