Question

For each of following find the smallest number by which it should be multiplied so as to get a perfect square also find the square root of the square number so obtained ​

Answer 1

Answer:

(In the picture it is written divided and you had written multiplied by, The way here is your answer)

1. 180 =2 ×2 ×3 × 3 × 5

Hence 5 must be multiplied/ divided ( both will give you a perfect square)=

180 ÷ 5 = 36 which is square of 6

180 × 5= 900 which is square of 30

2. 3645 = 3 × 3 × 3 ×3 ×3 ×3 × 5

hence 5 must be multiplied/ divided

3645 ÷ 5 = 729 which is square of 27

3645 × 5 = 18225 which is square of 135

3. 450 = 2 × 3 × 3 × 5 × 5

450 = 2 × 3 × 3 × 5 × 52 must be multiplied/ divided

450 = 2 × 3 × 3 × 5 × 52 must be multiplied/ divided450 ÷ 2 = 225 which is square of 15

450 = 2 × 3 × 3 × 5 × 52 must be multiplied/ divided450 ÷ 2 = 225 which is square of 15450 × 2 = 900 which is square of 30