Question: √80+√125=

(A) 9√5
(B) 20√5
(C) 41√5
(D) √205
(E) 100

Correct Answer: A
Solution and Explanation:
Approach Solution 1:

This problem has only 1 approach solution.

To solve the problem the radicals must be simplified. 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 *√5 = 4√5
√125 = √25* 5 = 5√5

Now adding these two results together. Keeping the value inside the radical constant and add together the values on the outside.

4√5 + 5√5 = 9√5

“√80+√125=”- is a topic of the GMAT Quantitative reasoning section of GMAT. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. GMAT Quant practice papers improve the mathematical knowledge of the candidates as it represents multiple sorts of quantitative problems.

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