Question

Plot the approximate values of and on a number line and determine which of the following statements are correct.

square root of 5 is approximately 1 less than square root of 10 .

square root of 5 is between whole numbers 1 and 2.

square root of 10 is between 3.1 and 3.2.

square root of 5 is between 2.3 and 2.4.

square root of 10 is less than 3.5. .

Answer 1

9514 1404 393

Answer:

• square root of 5 is approximately 1 less than square root of 10
• square root of 10 is between 3.1 and 3.2
• square root of 10 is less than 3.5

Explanation:

√5 and √10 are plotted on the number line shown below.

Rounded to 1 decimal place, √5 ≈ 2.2 and √10 ≈ 3.2, so it could be said they differ by about 1 unit. The above answer choices are the ones that match the graph.