Question

Which of the following irrational expressions are located between 6 and 8 on the number line? Select three that apply.

Answer 1

The correct options are:

A) $\sqrt{7} + 4$

B) $2\sqrt{15$

C) $8 - \sqrt 5$

D)$\sqrt{23}+\sqrt 8$

E) $\sqrt{80} - 3$

Answer:

A) $\sqrt{7} + 4$

B) $2\sqrt{15$

D)$\sqrt{23}+\sqrt 8$

Step-by-step explanation:

To answer this, we have to analyze each option.

Analyzing A.

$\sqrt{7}+4 = 2.64575131106459 + 4$

$\sqrt7 + 4 = 6.64575131106459$

Analyzing B

$2\sqrt{15} = 2 * 3.87298334620741$

$2\sqrt{15} = 7.74596669241483$

Analyzing C

$8 - \sqrt5 = 8 - 2.23606797749978$

$8 - \sqrt5 = 5.76393202250021$

Analyzing D

$\sqrt{23}+\sqrt8 = 4.79583152331271 + 2.82842712474619$

$\sqrt{23}+\sqrt8 = 7.62425864805890$

Analyzing E

$\sqrt{80}-3 = 8.94427190999915 - 3$

$\sqrt{80}-3 = 5.94427190999915$

After the above analysis;

We can conclude that options A, B and D answer the question