It is currently 19 Apr 2018, 15:48

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Need Help- Addition and Subtraction under Square Roots

Author Message
TAGS:

### Hide Tags

Intern
Joined: 17 Dec 2016
Posts: 8
Location: United States (VA)
Schools: Kelley '21
GMAT 1: 450 Q21 V24
GPA: 3.81

### Show Tags

14 Apr 2018, 07:17
Hello

I am having difficulty with how to simplify addition and subtraction under a square root. Below is the problem and how it is stated in the Foundations of Math Manhattan Prep book. I also attached a copy of me trying to work out the problem. (AJ-WORK1 AND AJ-WORK2) The other attachment is the solution info that the book provides which isn't that clear to me. If someone can explain what I am doing wrong or how to look at this problem in a different way as well as some other examples perhaps ; that would be really great.

QUESTION #56 from Chapter 3 in FOM
Simplify the following root:Express expressions as integers

√(36^2 +15^2)

Felling super frustrated-AJ
Attachments

AJ-EXPLANTION-56.pdf [73.07 KiB]

AJ-WORK2.pdf [118.87 KiB]

AJ-WORK1.pdf [112.3 KiB]

Senior Manager
Joined: 30 Jan 2016
Posts: 494
Location: United States (MA)

### Show Tags

15 Apr 2018, 09:53
Hi Lnstnbass4,

I guess you made a mistake when you taking $$3^2$$ out.

$$\sqrt{36^2+15^2}$$=$$\sqrt{(2^2*3^2)^2+(3*5)^2}$$=$$\sqrt{2^4*3^4+3^2*5^2}$$=$$\sqrt{3^2(2^4*3^2+5^2)}$$=$$\sqrt{3^2(16*9+25)}$$=$$\sqrt{3^2(144+25)}$$=$$\sqrt{3^2*169}$$=$$\sqrt{3^2*13^2}$$=3*13=39

Hope this helps!
_________________

Need Help- Addition and Subtraction under Square Roots   [#permalink] 15 Apr 2018, 09:53
Display posts from previous: Sort by