- Simplify the following.
(a) 3√5+7√5
(b) √75−√12
(c) 3⋅3√3⋅3√27
(d) 2√5⋅3√2
(e) (4−√3)2
(f) (√3+2√2)(√3+√2)
(g) (√7−√6)(√7+√6)(√x+1)(√x−1)
(h) √75−34√48−5√12
(i) √2x2+5√32x2−2√98x2
(j) √20a3+a√5a+√80a3
- Rationalise the denominators and simplify.
(a) 2√5
(b) 52+√3
(c) 12√5−√3
(d) √2+12√2−1
(e) √7+3√2√7−√2
(f) √17−√11√17+√11
(g) 12√2−√3
(h) √6+13−√5
- Write as a single fraction.
(a) 1√3+1+1√3−1
(b) 2√7+√2+1√7−√2
(c) 13+√3+1√3−3+1√3
(d) 7+√57−√5+√11−3√11+3
(e) 3+2√2(√3−1)2
(f) √x+1x−1+√x−1x+1−√1x2−1
(g) √5√32+√42−2−2−3
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