edited by
5,017 views

3 Answers

Best answer
32 votes
32 votes
Ans D

$ (\sqrt 3+ \sqrt 7)^2 = (\sqrt 3)^2  + 2 . \sqrt 3. \sqrt 7 + (\sqrt 7 )^2 = 3+2\sqrt {21}+7 =10+ 2\sqrt {21}$

$(\sqrt {10})^2 =10  < 10 +2 \sqrt {21}$

So $\sqrt 3+ \sqrt 7 > \sqrt {10}$
selected by
13 votes
13 votes
take log on each term..then it will be

..log(√3)+log(√7)=log(√10)

..1/2log(3)+1/2log(7)=1/2(log10) (divide by 1/2)

..log 3+ log 7=log 10 [log a +log b= log(ab)]

..log(21)>log10 so D is the ans
Answer:

Related questions

18 votes
18 votes
3 answers
1
ManojK asked Jul 4, 2016
6,591 views
What is the sum to infinity of the series,$3+6x^{2}+9x^{4}+12x^{6}+ \dots$ given $\left | x \right |<1$$\frac{3}{(1+x^{2})}$$\frac{3}{(1+x^{2})^{2}}$$\frac{3}{(1-x^{2})^{...
0 votes
0 votes
1 answer
2
admin asked May 21, 2023
331 views
Consider the following inequalities$$\begin{aligned}& p^2-4 q<4 \\& 3 p+2 q<6\end{aligned}$$where $p$ and $q$ are positive integers.The value of $(p+q)$ is __________.$2$...
1 votes
1 votes
1 answer
3
Arjun asked Feb 15, 2022
437 views
Which one of the following is a representation (not to scale and in bold) of all values of $x$ satisfying the inequality $2 - 5x \leq - \dfrac{6x - 5}{3}$ on the real num...
1 votes
1 votes
1 answer
4
Arjun asked Feb 15, 2022
279 views
​​​​​​​Consider the following inequalities.$3p \:– q < 4$$3q \:– p < 12$Which one of the following expressions below satisfies the above two inequalitie...