BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

Confused on this problem on roots.

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Junior | Next Rank: 30 Posts
Posts: 22
Joined: Wed Apr 30, 2008 12:12 pm
Thanked: 5 times
by w0283767 » Sun Aug 22, 2010 4:11 pm
The size of a square computer screen is measured by the length of its diagonal. How much bigger is the visible area of a square 24 inch screen than the area of a 20 inch screen?

I know the formula to solve or s =d / √s

I haven't done roots in a while and am having a hard time visualizing what is going on mathematically here.

How does (24 / √2) simplify to 12√2?

I know they are equal, but am not understanding.

Thank you in advance for your time.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Quantitative Reasoning |
Junior | Next Rank: 30 Posts
Posts: 22
Joined: Wed Apr 30, 2008 12:12 pm
Thanked: 5 times

by w0283767 » Sun Aug 22, 2010 5:49 pm
Figured it out myself.

FYI:

To simplify 24 / √2 = (24 / √2) * (√2 / √2) = (24√2) / (√2 *√2) = 24√2 / √4 = 24√2 / 2 = 12/√2.

That is a rule I haven't used in a long time.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 1255
Joined: Fri Nov 07, 2008 2:08 pmFollowed by: 90 members
Location: St. Louis
Thanked: 312 times

by Tani » Mon Aug 23, 2010 8:19 am
First, the formula is the diagonal of a square divided by the square root of 2 = the side, not hte square root of s. Check out your 45/45/90 triangle.
Tani Wolff
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Junior | Next Rank: 30 Posts
Posts: 22
Joined: Wed Apr 30, 2008 12:12 pm
Thanked: 5 times

by w0283767 » Mon Aug 23, 2010 2:52 pm
That was a typo. Thanks.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 1255
Joined: Fri Nov 07, 2008 2:08 pmFollowed by: 90 members
Location: St. Louis
Thanked: 312 times

by Tani » Mon Aug 23, 2010 4:44 pm
Aha! Typos are my specialty! :-)
Tani Wolff
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1