Question

Estimate √50 to the hundredths place. 1. Estimate between two whole numbers: 72 = 49, 82 = 64 2. Estimate further to the tenths place: 7.02 = 49.0, 7.12 = 50.41 3. Estimate further to the hundredths place:

Answer 1

Answer with explanation:

First Method

$\sqrt{50}=\sqrt{5\times 5 \times 2}\\\\=5\sqrt{2}\\\\=5 \times 1.41421\\\\=7.07105\\\\7.07 <\sqrt{50}<7.08$

Second method which is described in the question

$7 < \sqrt{50}<8\\\\7^2<50<8^2\\\\(7.0)^2< 50 < (7.1)^2\\\\(7.07)^2<50 (7.08)^2\\\\7.07 <\sqrt{50} <7.08$

Answer 2

Answer:The √50 is between 7.07  and 7.08

Step-by-step explanation: