Target Test Prep 20% Off Flash Sale is on! Code: FLASH20

Redeem
Target Test Prep
5-Day Free Trial
5-day free, full-access trial TTP

Available with Beat the GMAT members only code

MORE DETAILS
Target Test Prep
Magoosh
Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

MORE DETAILS
Magoosh

If A =810+41084+411

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

If A =810+41084+411

by Max@Math Revolution » Mon Feb 17, 2020 12:26 am
[GMAT math practice question]

If \(A=\sqrt{\frac{^{8^{10}+4^{10}}}{8^4+4^{11}}}\) , what is \(\left(A+4\right)^2\) ?

A. 20
B. 225
C. 400
D. 500
E. 900
Top
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

Re: If A =810+41084+411

by Max@Math Revolution » Wed Feb 19, 2020 1:10 am
=>
\(A=\sqrt{\frac{8^{10}+4^{10}}{8^4+4^{11}}}=\sqrt{\frac{2^{30}+2^{20}}{2^{12}+2^{22}}}=\sqrt{\frac{2^{20}\left(2^{10}+1\right)}{2^{12}\left(2^{10}+1\right)}}=\sqrt{2^8}=2^4=16\)

Then, (A + 4)^2 = (16 + 4)^2 = 20^2 = 400.

Therefore, C is the answer.
Answer: C
Top
Post new topic Post Reply
• Page 1 of 1