Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

To the nearest tenth, what is the square root of 89?

Hint: Use the area of a square and your knowledge of square roots also working steps to complete the following​


Sagot :

Answer:

9.4.

Step-by-step explanation:

9^2 = 81 and 10^2 = 100

So the value of the square root of 89 is between 9 and 10.

The gap between the squares is 100-81 = 19 and the gap between 89 and 81 is 8 so an estimate of the square root would be 9 + 8/19  of the gap between 9 and 10.

9 + 8/19 = 8.42.