Question

Which of the following are new numbers obtained while constructing the Spiral of Theodorus?

• A. $\sqrt{12}$
• B. $\sqrt{9}$
• C. $\sqrt{7}$
• D. $\sqrt{15}$

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A

$\sqrt{12}$

B

$\sqrt{9}$

C

$\sqrt{7}$

D

$\sqrt{15}$

The above shown figure is spiral of theodorus upto $\sqrt{1}7$ which starts with a isosceles triangle of equal lengths 1 unit and its hypotenuse as $\sqrt{2}$ which proceeds so on.

All the options are obtained from the spiral of theodorus.