Find the least six-digit number which is a perfect square.

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100489

100589

100689

100789

answer is A.

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Detailed Solution

Concept- Locate the smallest six-digit number first next, determine its square root. Verify whether a square root is an integer or not after obtaining one. Find the nearest integer to the square root that is greater than the square-root itself if it is not an integer. You'll know the necessary response.
The least six-digit integer that is a perfect square must be found in this case. Therefore, we will start by identifying the smallest or least six-digit number. 100000 is the smallest six-digit number. In order to determine whether or not the square root of this smallest six-digit number is an integer, we must first find its square root.

The pairs of numbers are taken out from underneath the square-root since they are perfect squares.

The calculated square-root is not an integer like it is in decimal form. Therefore, we must locate the nearest number that is larger than the square root. Therefore, the obtained square-root is bigger than the nearest integer, 317, which is 316.23. Now, we shall multiply 317 by itself to determine the ideal square.

Hence, the correct answer is option 1.

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Result Producing online coaching for JEE/NEET of south India

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Best Online Course for NEET

Best Online Course for CBSE