Question

3. Find the smallest number by which 7436 must be multiplied to get a perfect square. Also find the square root of the perfect square so obtained.​

Answer 1

Answer:

• To find the the smallest number which is mutplied by 7436 to get a perfect sq.

• We have to do it’s LCM

2 | 7436

2 | 3718

11 | 1859

13 | 169

13 | 13

| 1

So, the LCM = 2 × 2 × 11 × 13 × 13

Now, Square root is :

= 7436 × 11

= √81796

=286

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Answer 2

Step-by-step explanation:

7436=2×2×11×13×13

since 11 is not in pair, so 11 is the smallest number by which 7436 be multiplied to get a perfect square

81796 is a perfect square.

√81796 = √2×2×11×11×13×13

= 2×11×13 = 286