Question

Which of the points on the number line shows the best approximation for the square root of 15 ?

A
B
C
D

Answer 1

https://sea.ignitiaschools.com/media/g_pal_2015/11/img_number_line_approximate_radical.gif

Answer 2

What is \(\sqrt {16} \) ?

Answer 3

4

Answer 4

@mathstudent55

Answer 5

good, that means the square root of 15 must be a little bit less than 4

Answer 6

which point matches this description?

Answer 7

Good.
What is \(\sqrt 9\) ?

Answer 8

its 3.87

Answer 9

for the square rrot oof 15

Answer 10

root of

Answer 11

yes,so which point on the graph matches?

Answer 12

the square root of 9 is 3

Answer 13

Since \(\sqrt {16} = 4\), and \(\sqrt {9} = 3\), you expect the \(\sqrt {15}\) to be between 3 and 4.
Also, since 15 is much closer to 16 than to 9, you expect \(\sqrt{15} \) to be much closer to 4 than to 3.
Which of the numbers shown on the number line is between 3 and 4, but much closer to 4 than to 3?

Answer 14

A

Answer 15

Correct.
That is how you figure out the answer without having to calculate \(\sqrt {15}\) on a calculator.

Answer 16

ok thanks.

Answer 17

You're welcome.