Question

simplify the following: √(3+2√2)

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Answer 1

Answer:

= √3–2√2

= (√3–2√2) × (√3+2√2) [b/z, (√3+2√2) is the rationalising factor of (√3–2√2)]

= (√3)² - (2√2)² [b/z, a²-b²]

= 3 - 4(2)

= 3 - 8

= -5

Therefore, -5 is the answer for your problem.

Answer 2

√3= 1.732 and √2= 1.414

Now √3+ 2×√2= 1.732+ 2×1.414= 4.560