Question

find the greatest number of 6 digit which is perfect square. find the square root of this number​

Answer 1

Answer:

the greatest number of 6digit is perfect square is 999

Answer 2

Answer:

1...solution

We know the greatest number of 6 digits is 999999.

Then solving through division method,

We get quotient as 999.99 So it is not a perfect square.

But if we consider it to be as (1000-1)² which will be equal to 999².

(1000 - 1)² = 999² = 998001

.·.The greatest 6 digit number which is a perfect square is 998001.

2..solution

Let x² be the largest six-digit perfect square.

The largest six-digit number is 999,999, so

x² ≤ 999,999.

You know that 1,000² = 1,000,000, which is only 1 more than 999,999, so x² must be the next smaller square, which is (1,000 - 1)².

(1,000 - 1)² = 999² = 998,001.

Step-by-step explanation:

both the solutions are correct

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