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GMAT Problem Solving (PS) | Re: If a = 1,248 and b = 1,152, what is the value of (a^2 + b^2) ^

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SajjadAhmad wrote:

If a = 1,248 and b = 1,152, what is the value of \((a^2 - b^2) ^{\frac{1}{2}}\)?

A. 240
B. 360
C. 480
D. 600
E. 720


\(\sqrt{(a^2 - b^2)} = \sqrt{(a + b)(a - b)}\)

Now,\(\sqrt{(a + b)(a - b)} = \sqrt{(1248 + 1152)(1248 - 1152)}\)

Or,\(\sqrt{(a + b)(a - b)} = \sqrt{2400*96}\)

Or,\(\sqrt{(a + b)(a - b)} = 480\)

Thus, the answer must be (C) 480
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