Question

What is the least number that must be subtracted from 3380 to make it a perfect square?

Answer 1

Answer:

15x15x15=3375

so

3380-5=3375

5 should be subtracted

Answer 2

Answer:

Step-by-step explanation:

Given - The least number which must be subtracted from 3380 to make it a perfect square.

To Find - Write what is the least number of 3380 to make it a perfect square .

3380 = (2 x 2 x 5 x 13 x 13)

So, the new number is 3380 = (2 x 2 x 5 x 5 x 13 x 13)

$3380 =$ $($ 2 × $5$ × $13$ $)$² = $(130 )$

$130$ is a perfect square .

Here, the prime factor $5$ is not in a pair . Therefore, It should be multiplied by $5$ to get a perfect square .

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