Table of Contents
Table of Contents
Table of Contents
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Example 8 :<br />
Exercises:<br />
Example 9 :<br />
1<br />
3 − √ 5 =<br />
1<br />
3 − √ 5 × 3 + √ 5<br />
3 + √ 5<br />
= 3 + √ 5<br />
9 − 5<br />
= 3 + √ 5<br />
4<br />
√<br />
2<br />
6 + √ 2 =<br />
√<br />
2<br />
6 + √ 2 × 6 − √ 2<br />
6 − √ 2<br />
√ √<br />
2(6 − 2)<br />
=<br />
36 − 2<br />
= 6√2 − 2<br />
34<br />
= 3√2 − 1<br />
17<br />
1. Rewrite the following expressions with rational denominators:<br />
(a) 3<br />
√5<br />
(b) 4<br />
√8<br />
(c) 9<br />
√48<br />
(d) √ 2+1<br />
√ 2<br />
(e) √ 3−1<br />
√ 5<br />
(f) − 4<br />
3 √ 2<br />
(g) √ 5+3<br />
√ 10<br />
(h) √ 2−1<br />
√ 7<br />
Page 40<br />
(i) 1<br />
√3−1<br />
(j) 4<br />
√6−2<br />
(k) 7<br />
√7−2<br />
(l) −3<br />
√ 5+1<br />
(m) √ 2+3<br />
√ 5<br />
(n) √ 5−1<br />
√ 5+3<br />
(o) √ 3+ √ 2<br />
√ 3+4<br />
(p) 5+2√ 3<br />
√ 5+ √ 3