Question

Which number line best shows the position of square root of 3?

a) Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 1.7 and labeled as square root of 3.
b) Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 2.8 and labeled as square root of 3.
c) Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 3 and labeled as square root of 3.
d) Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 2.2 and labeled as square root of 3.

Answer 1

A.) Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 1.7 and labeled as square root of 3.

Answer 2

Option: a is the correct answer.

a) Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 1.7 and labeled as square root of 3.

Explanation:

We are asked to locate √3 in a number line.

We know that:

`√(1)<√(3)<√(4)`

i.e.

`1<√(3)<2`

i.e. the value of √3 lie between 1 and 2 in the number line.

b)

Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 2.8 and labeled as square root of 3.

As the value of square root of 3 has to be strictly less than 2.

Hence, option: b is incorrect.

(Since here we are given value strictly greater than 2 i.e. 2.8 )

c)

Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 3 and labeled as square root of 3.

Hence, option: c is incorrect.

(Since here we are given value strictly greater than 2 i.e. 3 )

d)

Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 2.2 and labeled as square root of 3.\

Hence, option: d is incorrect.

(Since here we are given value strictly greater than 2 i.e. 2.2 )

a)

Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 1.7 and labeled as square root of 3.

Hence, option: a is correct.

( Since the value given lie between 1 and 2 i.e. 1.7 )