Ashton estimates the square root of 72 in the following way: √72 = 2√36=2*6=12 A) Explain why his reasoning is incorrect. B) Estimate the square root of 72 to the nearest tenth without using your calculator. Show your work.

Question

Mathematics

Cullen Larson

19 March, 17:11

Ashton estimates the square root of 72 in the following way: √72 = 2√36=2*6=12 A) Explain why his reasoning is incorrect. B) Estimate the square root of 72 to the nearest tenth without using your calculator. Show your work.

+5

Answers (1)

Know the Answer?

Harper Lyons · Answer 1

8.5

Step-by-step explanation:

To find √72, we must factor 72, remembering that the factor 36 is a perfect square:

√72 = √2·√36, or 6√2. Ashton failed to take the square root of the factor 2 of 72.

√72 = 6√2, and √2 is approx. 1.414.

Multiplying 1.414 by 6 results in 8.5, which is to the nearest tenth.