6 + 2 3 + 2 2 + 2 6 - 1 5 + 2 6 - Vidyadip

MCQ

${{\sqrt {6 + 2\sqrt 3 + 2\sqrt 2 + 2\sqrt 6 } - 1} \over {\sqrt {5 + 2\sqrt 6 } }}$

✓
$1$
B
$-1$
C
$0$
D
None of these

✓

Answer

Correct option: A.

$1$

a
(a) ${{\sqrt {6 + 2\sqrt 3 + 2\sqrt 2 + 2\sqrt 6 } - 1} \over {\sqrt {5 + 2\sqrt 6 } }}$

= ${{(1 + \sqrt 2 + \sqrt 3 ) - 1} \over {(\sqrt 3 + \sqrt 2 )}}$= ${{\sqrt 3 + \sqrt 2 } \over {\sqrt 3 + \sqrt 2 }} = 1$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from STD 11 - basic of algoritham→STD 11 - basic of algoritham — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

$\lim\limits_{x \rightarrow 2} \frac{3^{x}+3^{3-x}-12}{3^{-x / 2}-3^{1-x}}$ is equal to

If $\alpha$ is the positive root of the equation, $p(x)=x^{2}-x-2=0,$ then $\lim \limits_{x \rightarrow \alpha^{+}} \frac{\sqrt{1-\cos (p(x))}}{x+\alpha-4}$ is equal to

The value of $\cos \left(\frac{2 \pi}{7}\right)+\cos \left(\frac{4 \pi}{7}\right)+\cos \left(\frac{6 \pi}{7}\right)$ is equal to

If $\mathop {\lim }\limits_{x \to \infty } \left\{ {\ln \left( {{x^2} + 5x} \right) - 2\ln \left( {cx + 1} \right)} \right\} = - 2$ then

The converse of: "If two triangles are congruent then they are similar" is:

The equations $x = \frac{t}{4},\;y = \frac{{{t^2}}}{4}$ represents

The number of real solution of equation $(\frac{3}{2})^x = -x^2 + 5x-10$ :-

Two cards are drawn at random from a pack of $52$ cards. The probability that both are the cards of spade is

Two dice are thrown:
$P$ is the event that the sum of the scores on the uppermost faces is a multiple of $6.$
$Q$ is the event that the sum of the scores on the uppermost faces is at least $10.$
$R$ is the event that same scores on both dice.
Which of the following pairs is mutually exclusive?

Consider the given data with frequency distribution

$\mathrm{x}_{\mathrm{i}}$ $\ \ 3\ \ 8\ \ 11\ \ 10\ \ 5\ \ 4$

$\mathrm{f}_{\mathrm{i}}$ $\ \ 5 \ \ 2 \ \ 3 \ \ 2 \ \ 4 \ \ 4$

Match each entry in List-$I$ to the correct entries in List-$II$.

List-$I$	List-$II$
($P$) The mean of the above data is	$(1) 2.5$
($Q$) The median of the above data is	$(2) 5$
($R$) The mean deviation about the mean of the above data is	$(3) 6$
($S$) The mean deviation about the median of the above data is	$(4) 2.7$
	$(5) 2.4$

The correct option is :