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23/05/2021 1:08 pm
Topic starter
Simplify each of the following expressions:
(i) (3+√3)(2+√2)
(ii) (3+√3)(3-√3)
(iii) (√5+√2)2
(iv) (√5-√2)(√5+√2)
1 Answer
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23/05/2021 1:09 pm
(i) (3+√3)(2+√2)
(3+√3)(2+√2 )
Opening the brackets, we get, (3×2)+(3×√2)+(√3×2)+(√3×√2)
= 6+3√2+2√3+√6
(ii) (3+√3)(3-√3 )
(3+√3)(3-√3 ) = 32-(√3)2 = 9-3
= 6
(iii) (√5+√2)2
(√5+√2)2 = √52+(2×√5×√2)+ √22
= 5+2×√10+2 = 7+2√10
(iv) (√5-√2)(√5+√2)
(√5-√2)(√5+√2) = (√52-√22)
= 5-2 = 3