Math, asked by moni7894, 7 months ago

Find the least number which must be added to 4215 to make it perfect square

Answers

Answered by riya5395
49

Answer:

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Answered by nikitasingh79
6

The least number that should be added to 4215 to obtain a perfect square is 10.

Concept:

  • First, we find the square root of 4215 by the long division method.
  • Then, find the least number that should be added to the given number 4215 to obtain a perfect square by subtracting 65² - 64².

Given :

Number - 4215

To Find:

The least number to be added to 4215 to make it a perfect square.

Solution:

Step 1: Find the square root of 4215 by the long division method.

The long division method of 4215 is in the attachment below:

We observe from the fig. that 4215 lies between 64² and 65².

64² < 4215 < 65²

Now, 65² = 4225

The long division method of 4225 is in the attachment below:

To make it a perfect square the least number that should be added =  65² - 64² = 4225 - 4215 = 10.

Hence, the required least number which should be added to 4215 to obtain a perfect square is 10.

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