Question

An irrational number is marked on the number line (D) as shown in the figure below. Then the value of D is ________.

• A. $\sqrt{3}$
• B. $\sqrt{5}$
• C. $\sqrt{7}$
• D. $\sqrt{10}$

Answer 1

The correct option is D

$\sqrt{10}$

By Pythagoras theorem we know that,

$A{C}^2=A{B}^2+C{B}^2$

$A{C}^2=(3{)}^2+(1{)}^2$

$A{C}^2=9+1$

$\Rightarrow AC=\sqrt{10}$

$\therefore$ The value of D is $\sqrt{10}$.