Question

Find the value of √2 upto two decimal places using square roots

Answer 1

Answer:

Divide the number 2 through long division method upto 3 decimal places then the answer will come 1.414

Here if the 3rd decimal number comes 5 or more than 5 then the answer will be 1.42 but here the third decimal number is less than 5 so it will remain 1.41 .

Step-by-step explanation:

If in the question it is told that do upto 2 or 3 decimal places , always check upto 3 or 4 decimal places respectively this is because to check whether the 3rd or 4th decimal number comes more than or equal to 5 .

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Answer 2

Given: We have given $\sqrt2$

To find:Find the value of $\sqrt2$ upto two decimal places using square roots

Step by Step Solution:

• Here in this method, we have to make an estimate first, means we have chosen a close number by finding at-least two roots which are perfect. It has been those roots that our number is between those values.

• Then, we can divide the number by one of those square roots.

• Once we start and continue with the division process, we will need to take the average of the result of step 2 and the root. And finally, we can use the result that we get in step 3 to repeat the 2nd and 3rd step until we get a number that is satisfactory or accurate enough for our answer

Here we get the value of $\sqrt2=1.41$ upto two decimal places

FInal answer:

Here is the answer $\sqrt2=1.41$