Question

Find the square root of 2.89 in decimal form​

Answer 1

Answer:

In this problem, we need to find the square root of 2.89.

As the first step in long division, we need to pair the digits from the right.

Hence, we pair 8 and 9 as 89, and the digit 2 has no digit to pair with.

2 . 89

Next, we need to find the largest integer such that its square is less than the first digit.

We know that 12

which is 1 is less than 2.

1)2. 89¯¯¯¯¯¯¯¯¯¯¯1−1 1

We have a decimal after 2, so we place a decimal in the quotient.

Now, we bring the next pair down and the number becomes 189, we now need to find a number such that 2x multiplied with x gives 189.

We know that 27 multiplied with 7 gives 189.

1) 2. 89−1 ↓¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯1.727⎞⎠⎟⎟⎟⎟ 1 89−1 89 0 ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Hence, the square root of 2.89 is 1.7.

Note: Be careful when placing the decimal in the answer. You can also check if your answer is correct or not by squaring your answer.

Answer 2

The question of the answer is above :-

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