Question: \(\sqrt{16 * 20 + 8 * 32}\)

A. 4√20
B. 24
C. 25
D. 4√20 + 8√2
E. 32

Answer: B

Solution and Explanation:

Approach Solution 1:
Apply the information in the question to the GMAT question at hand. These problems apply to numerous disciplines of mathematics. This question has to do with fundamental math. It is challenging to select the best option because of the way the options are presented. Candidates must be able to comprehend the appropriate approach to eliciting the desired response. Out of the five possible answers, there is only one that is correct.
Factor out 16 from the equation:
16*20 + 8*32
= 16(20 + 8*2)
= 16(20 + 16
= 16*36
= 4 * 6
= 24
Correct option: B

Approach Solution 2:
Apply the information in the question to the GMAT question at hand. These problems apply to numerous disciplines of mathematics. This question has to do with fundamental math. It is challenging to select the best option because of the way the options are presented. Candidates must be able to comprehend the appropriate approach to eliciting the desired response. Out of the five possible answers, there is only one that is correct.
16*20 + 8*32
=24*22*5+23*25
= 26*5 + 28
= 26(5+22)
=26(9)
=23*3 = 8 *3 = 24
Correct option: B

Approach Solution 3:
Apply the information in the question to the GMAT question at hand. These problems apply to numerous disciplines of mathematics. This question has to do with fundamental math. It is challenging to select the best option because of the way the options are presented. Candidates must be able to comprehend the appropriate approach to eliciting the desired response. Out of the five possible answers, there is only one that is correct.
You now understand that you must use caution when factoring out values from significant calculations.
There are a number of methods to 'factor down' and make this question simpler, but your second strategy is the right one (and is just as valid as any other).
Here's another approach that uses the same principles as yours:
You may have noticed that both phrases' factors each equal 16 (16x20 and 8x32). We may further simplify the equation by factoring out the number 16.
Root[(16)(20) + (8)(32)]
Root[16[(20) + (8)(2)]
Root[16[(20) + 16]]
Root[16[36]]
4(6) = 24
Correct option: B

“Root of (16*20+8*32)=" - is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been borrowed from the book “GMAT Official Guide Quantitative Review”.

To understand GMAT Problem Solving questions, applicants must possess fundamental qualitative skills. Quant tests a candidate's aptitude in reasoning and mathematics. The GMAT Quantitative test's problem-solving phase consists of a question and a list of possible responses. By using mathematics to answer the question, the candidate must select the appropriate response. The problem-solving section of the GMAT Quant topic is made up of very complicated math problems that must be solved by using the right math facts.

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