I could solve it in less than 3 min even thru traditional way.
expand as (a+b)^2
(9+sqrt(80))+(9-sqrt(80))+2(sqrt(9+sqrt(80)))(sqrt(9-sqrt(80)))
=> 9+9+2(sqrt(9+sqrt(80))(9-sqrt(80))) the last part is (a+b)(a-b)
=> 18+2(sqrt(9^2-80))
=> 18+2(1)
=>20
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Multiplying roots
Source: Beat The GMAT — Problem Solving |
for the a^2 + b^2 I get:
9 + root(80) + 9 - root(80) = 18
for the 2ab I get:
2*(9 + root(80) + 9 - root(80)) = 2 * 18
= 54
which is wrong
9 + root(80) + 9 - root(80) = 18
for the 2ab I get:
2*(9 + root(80) + 9 - root(80)) = 2 * 18
= 54
which is wrong
Hey guys,
I just posted this weekend on a nearly-identical question on the Math forum:
https://www.beatthegmat.com/square-root- ... 65835.html
That explanation should explain all of the steps, just with different numbers.
I just posted this weekend on a nearly-identical question on the Math forum:
https://www.beatthegmat.com/square-root- ... 65835.html
That explanation should explain all of the steps, just with different numbers.
Brian Galvin
GMAT Instructor
Chief Academic Officer
Veritas Prep
Looking for GMAT practice questions? Try out the Veritas Prep Question Bank. Learn More.
GMAT Instructor
Chief Academic Officer
Veritas Prep
Looking for GMAT practice questions? Try out the Veritas Prep Question Bank. Learn More.













