Engineering Board Exam Reviewer · Exponents, Radicals, and Exponential Equations · hard

Simplify sqrt(7+4 3).

1. 2+ 3
2. 2+2 3
3. 4+ 3
4. 1+2 3

Answer

A. 2+ 3

Solution

Look for (a+b 3)2=a2+3b2+2ab 3=7+4 3: 2ab=4 and a2+3b2=7 give a=2, b=1. So sqrt(7+4 3)=2+ 3.

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