Simplify the following expressions : (i) (11+√11)(11−√11) (ii) (

1.	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)
Answer» Simplify the following expressions : (i) $(11 + \sqrt{11}) (11 - \sqrt{11})$ (ii) $(5 + \sqrt{7}) (5 - \sqrt{7})$ (iii) $(\sqrt{8} - \sqrt{2}) (\sqrt{8} + \sqrt{2})$ (iv) $(3 + \sqrt{3}) (3 - \sqrt{3})$ (v) $(\sqrt{5} - \sqrt{2}) (\sqrt{5} + \sqrt{2})$

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)

Answer»

Simplify the following expressions :

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

(ii) $(5 + \sqrt{7}) (5 - \sqrt{7})$

(iii) $(\sqrt{8} - \sqrt{2}) (\sqrt{8} + \sqrt{2})$

(iv) $(3 + \sqrt{3}) (3 - \sqrt{3})$

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