Question

7. By what number should each of the following numbers be multiplied to get a perfect
square in each case? Also, find the number whose square is the new number

(v) 4056
​

Answer 1

Answer:

hello..

Step-by-step explanation:

4056 = (2 × 2) × (13 × 13) × 2 × 3

In the above factors only 2 and 3 are unpaired

So, multiply the number with 6 to make it paired

Again,

4056 × 6 = 2 × 2 × 13 × 13 × 2 × 2 × 3 × 3

= (2 × 2) × (13 × 13) × (2 × 2) (3 × 3)

= (2 × 2 × 3 × 13) × (2 × 2 × 3 × 13)

= 156 × 156

= (156)2

So, the product is the square of 156

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