Simplify each of the following:
Simplify the following expressions: (i) (4 + √7) (3 + √2) (ii) (3 + √3)(5- √2 ) (iii) (√5 -2)( √3 – √5)
Simplify the following expressions: (i) (11 + √11) (11 – √11) (ii) (5 + √7) (5 –√7 ) (iii) (√8 – √2 ) (√8 + √2 ) (iv) (3 + √3) (3 – √3) (v) (√5 – √2) (√5 + √2)
Simplify the following expressions: (i) (√3 + √7)2 (ii) (√5 – √3)2 (iii) (2√5 + 3√2 )2
: Rationalise the denominators of each of the following (i – vii): (i) 3/ √5
(ii) 3/(2 √5)
(iii) 1/ √12
(iv)√2/ √5
(v) (√3 + 1)/ √2
(vi) (√2 + √5)/ √3
(vii) 3 √2/ √5
Find the value to three places of decimals of each of the following. It is given that √2 = 1.414, √3 = 1.732, √5 = 2.236 and √10 = 3.162
Express each one of the following with rational denominator:
Rationales the denominator and simplify:
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