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Practice Questions Question: 52 Page: 159 Difficulty: 600
The only thing I know is that the answer is just under 24.. And it is definitely not D since D falls between 14 and 15.. And it's clearly not E. And out of the 3 left, B and C are waay too high above 24, and I figured sqrrt of 5 is around "2.something" so A made most sense.
Clearly this approach is very shaky but this time it worked.
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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To solve the problem we must simplify the radicals. Radicals should be simplified whenever possible. Since the square root of a perfect square produces integers, it will often be helpful to locate and simplify perfect squares within a radical expression. Thus, we first locate the perfect squares that divide evenly into 80 and 125, making the simplification of each radical straightforward.
√80 = √16 x √5 = 4√5
√125 = √25 x √5 = 5√5
Now we can add these two results together. Remember to keep the value inside the radical constant and add together the values on the outside.
4√5 + 5√5 = 9√5
The answer is A.
Jeffrey Miller Scott Woodbury-Stewart Founder and CEO