Question

An irrational number is plotted (c) on the number line as shown in the figure. Then the value of C is

• A. $\sqrt{7}$
• B. $\sqrt{5}$
• C. $\sqrt{3}$
• D. $\sqrt{2}$

Answer 1

The correct option is B

$\sqrt{5}$

We know that,

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

$=(1{)}^2+(2{)}^2$

$\Rightarrow D{A}^2=1+4$

$\Rightarrow DA=\sqrt{5}$

$\therefore$ The value of C is $\sqrt{5}$