GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 15 Oct 2019, 04:56

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# What is the Value of (1 + 3^(1/2))(2 + 3^(1/2))^(1/2)

Author Message
TAGS:

### Hide Tags

Intern
Joined: 04 Feb 2018
Posts: 10
Location: India
What is the Value of (1 + 3^(1/2))(2 + 3^(1/2))^(1/2)  [#permalink]

### Show Tags

Updated on: 02 Oct 2018, 02:10
1
4
00:00

Difficulty:

55% (hard)

Question Stats:

60% (02:06) correct 40% (02:32) wrong based on 68 sessions

### HideShow timer Statistics

What is the Value of $$(1+\sqrt{3})(\sqrt{(2+{\sqrt{{3}}})}$$ ?

a.$$\sqrt{2}(2-\sqrt{3})$$

b.$$\sqrt{2}(2+\sqrt{2})$$

c.$$\sqrt{2}(2+\sqrt{3})$$

d.$$\sqrt{2}(3+\sqrt{3})$$

e.$$\sqrt{3}(2+\sqrt{3})$$

Originally posted by rheabiswal on 02 Oct 2018, 02:07.
Last edited by Bunuel on 02 Oct 2018, 02:10, edited 1 time in total.
Renamed the topic and edited the question.
Math Expert
Joined: 02 Aug 2009
Posts: 7958
What is the Value of (1 + 3^(1/2))(2 + 3^(1/2))^(1/2)  [#permalink]

### Show Tags

02 Oct 2018, 03:49
1
1
1
rheabiswal wrote:
What is the Value of $$(1+\sqrt{3})(\sqrt{(2+{\sqrt{{3}}})}$$ ?

a.$$\sqrt{2}(2-\sqrt{3})$$

b.$$\sqrt{2}(2+\sqrt{2})$$

c.$$\sqrt{2}(2+\sqrt{3})$$

d.$$\sqrt{2}(3+\sqrt{3})$$

e.$$\sqrt{3}(2+\sqrt{3})$$

$$(1+\sqrt{3})(\sqrt{(2+{\sqrt{{3}}})}$$ =$$\sqrt{(1+\sqrt{3})^2(2+\sqrt{3})}=\sqrt{(1+3+2\sqrt{3})(2+\sqrt{3})}=\sqrt{2(2+√3)(2+√3)}=\sqrt{2}(2+\sqrt{3})$$

C
_________________
What is the Value of (1 + 3^(1/2))(2 + 3^(1/2))^(1/2)   [#permalink] 02 Oct 2018, 03:49
Display posts from previous: Sort by