Math, asked by Harshil1111, 1 year ago

Find the least number must be added to 8000 to obtain a perfect square

Answers

Answered by RohitBacchan
5
see 900 square is 8100 so u have got 8000 so add 100 to get the perfect square number
Answered by vaduz
16

Answer:100


Step-by-step explanation:

as we know for being a number to square it must have pair of prime numbers in its factor. it it have pair then it is called a perfect square and if not then it is not a perfect square.

so for 8000 in their factors

8000 = 2*2*2*5*2*5*2*5*2*

= (2*2)*(2*2)*(2*2)*(5*5)*5

there is one 5 is single so it is not a perfect square.

we know that

(90)²= 8100

so by adding (8100-8000) = 100 we get a perfect square.

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