Question

Find the smallest 6 digit number which is a perfect square. Also, find its square root.

Answer 1

Answer:

ototoyoszlygzzogozkkzkzkzkf

Answer 2

Answer:

100489

Step-by-step explanation:

Here, we have to find the least six-digit number which is a perfect square.

So first we will find the least six-digit number or smallest six-digit number.

The smallest six digit number =10000=10000

Now, we will find the square-root of this smallest six-digit number to determine whether the square-root is an integer or not.

⇒⇒ 100000−−−−−−√=10×10×10×10×10−−−−−−−−−−−−−−−−−−√100000=10×10×10×10×10

The numbers which are in pairs are removed from under the square-root as they are perfect squares.

⇒⇒ 10×1010−−√=10010−−√10×1010=10010

Now, we will put the value of 10−−√10 which is 3.16233.1623

⇒⇒ 100×3.1623=316.23100×3.1623=316.23

The square-root we obtained is not an integer as it is in decimal.

So we have to find the nearest integer which is greater than the square-root itself.

So, the nearest integer 316.23316.23 is 317317 which is greater than the obtained square-root. Now, to find the perfect square we will multiply 317317by itself.

⇒⇒