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

 It is currently 23 Jan 2019, 00:00

### 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
Your Progress

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

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### Key Strategies to Master GMAT SC

January 26, 2019

January 26, 2019

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.
• ### Free GMAT Number Properties Webinar

January 27, 2019

January 27, 2019

07:00 AM PST

09:00 AM PST

Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes.

# If the sum of the square roots of two integers is

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 29 Jun 2017
Posts: 465
Re: If the sum of the square roots of two integers is  [#permalink]

### Show Tags

24 Oct 2018, 23:48
1
how do we know that
x+y=9
and
2 square root of xy= 6 square root of 2
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8806
Location: Pune, India
Re: If the sum of the square roots of two integers is  [#permalink]

### Show Tags

25 Oct 2018, 00:08
Bunuel wrote:
If the sum of the square roots of two integers is $$\sqrt{9+6\sqrt{2}}$$, what is the sum of the squares of these two integers?

(A) 40
(B) 43
(C) 45
(D) 48
(C) 52

Let the two integers be a and b.

$$\sqrt{a} + \sqrt{b} = \sqrt{9+6\sqrt{2}}$$

Squaring both sides, we get

$$a + b + 2\sqrt{ab} = 9 + 6\sqrt{2}$$

Since a and b are integers, so $$2\sqrt{ab} = 6\sqrt{2}$$

$$\sqrt{ab} = 3*\sqrt{2} = \sqrt{3*3*2}$$

So values of a and b such that ab = 3*3*2 and sum is 9 is 6 and 3.

$$a^2 + b^2 = 6^2 + 3^2 = 45$$

Answer (C)
_________________

Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >

Re: If the sum of the square roots of two integers is &nbs [#permalink] 25 Oct 2018, 00:08

Go to page   Previous    1   2   [ 22 posts ]

Display posts from previous: Sort by

# If the sum of the square roots of two integers is

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.