Jaclyn estimates the square root of 50 in the following way:
√200 = 2√100 = 2 (10) = 20
(a) explain why her reasoning is incorrect.

(b) estimate the square root of 200 to the nearest tenth without using your calculator. show your work.

The answer is:

a) Her reasoning is incorrect, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.

b) We have that:

and rounding to the nearest tenth, we have that:

To solve the problem, we need to remember the following property of square roots:

We are given the expression:

We can rewrite it by the following way:

Now, applying the square root property we have:

Therefore,

a) Her reasoning was wrong, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.

b) We have that:

and rounding to the nearest tenth, we have that:

Have a nice day!

8.3 and the 3 is repeating

hope this .