Simplify (i) (3−√11)(3+√11) (ii) (−3+√5)(−3−√5) (iii)

1.	Simplify (i) (3−√11)(3+√11) (ii) (−3+√5)(−3−√5) (iii) (3−√3)2 (iv)(√5−√3)2 (v) (5+√7)(2+√5) (vi)(√5−√2)(√2−√3)
Answer» Simplify (i) $(3 - \sqrt{11}) (3 + \sqrt{11})$ (ii) $(- 3 + \sqrt{5}) (- 3 - \sqrt{5})$ (iii) $(3 - \sqrt{3})^{2}$ (iv) $(\sqrt{5} - \sqrt{3})^{2}$ (v) $(5 + \sqrt{7}) (2 + \sqrt{5})$ (vi) $(\sqrt{5} - \sqrt{2}) (\sqrt{2} - \sqrt{3})$

Simplify (i) (3−√11)(3+√11) (ii) (−3+√5)(−3−√5) (iii) (3−√3)2 (iv)(√5−√3)2 (v) (5+√7)(2+√5) (vi)(√5−√2)(√2−√3)

Answer»

Simplify

(i) $(3 - \sqrt{11}) (3 + \sqrt{11})$

(ii) $(- 3 + \sqrt{5}) (- 3 - \sqrt{5})$

(iii) $(3 - \sqrt{3})^{2}$

(iv) $(\sqrt{5} - \sqrt{3})^{2}$

(v) $(5 + \sqrt{7}) (2 + \sqrt{5})$

(vi) $(\sqrt{5} - \sqrt{2}) (\sqrt{2} - \sqrt{3})$