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 →

A math question

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Newbie | Next Rank: 10 Posts
Posts: 2
Joined: Wed Apr 30, 2008 12:59 pm
by Faisal_903 » Sun Jul 13, 2008 6:00 pm
Hi all,

Sometimes a see a square rooted number simplified into a number multiplied with a square rooted number. For example:

Image

Can you please explain how to simplify such square rooted numbers?

Thank you all ...
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Quantitative Reasoning |
Senior | Next Rank: 100 Posts
Posts: 36
Joined: Tue Apr 08, 2008 1:36 pm
Location: Texas

by czechchamp » Mon Jul 14, 2008 5:38 am
I think the first problem you posted is solved incorrectly.
1.
sq root of 125 = square root of (25 x 5)
sq root of 125 = 5 x sq root of 5

2.
sq root of 75 = sq root of (25 x 3)
sq root of 75 = 5 x sq root of 3

Hope this helps
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Junior | Next Rank: 30 Posts
Posts: 18
Joined: Sun Jun 22, 2008 11:25 am
Location: NY
Thanked: 1 times

by asigheartau » Mon Jul 14, 2008 6:18 am
if you need to simplify the square roots, try to do so by dividing them into prime factors.

Hence,

sqrt 125 :sqrt 5
sqrt 25 :sqrt 5
dqrt. 5 :sqrt 5

thus, Square Root of 125= (Sqrt 5 X Sqrt 5) X (Sqrt 5)

I only put the paranthesis to make you see it easier that Sqrt 5 X Sqrt5=5

The result of the simplification would therefore be 5sqrt5
Alin Sigheartau
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Newbie | Next Rank: 10 Posts
Posts: 2
Joined: Wed Apr 30, 2008 12:59 pm

by Faisal_903 » Mon Jul 14, 2008 10:01 am
Thank you all .. I understood how to simplify square roots

I appreciate your help!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1