Question

1. Which of the following is the simplest rationalizing sector of 2√363 ?
a) √363 b) √3 c) √11 d)√33


Right answer will mark as your brain list.
Please help !!!!!​

Answer 1

Answer:

option b is the correct answer I hope this answer is help to you thank you

Answer 2

Given number is  $\sf{2\sqrt{363}}$.

We have to find the simplest root.

First we have to find if 363 has a solution or not.

$\sf{\implies \sqrt{363}=\sqrt{11\times11\times3}}$

$\sf{\implies \sqrt{363}=11\sqrt{3}}$

So,

$\sf{\implies 2\sqrt{363}=2\times11\sqrt{3}}$

$\sf{\implies 2\sqrt{363}=22\sqrt{3}}$

Therefore, here the simplest rationalizing factor is $\sqrt{3}$.

$\huge{\boxed{\bold{\sf{Answer=(b) \ \sqrt{3}}}}}$