Question

1. Simplify the following expressions
* (s+v7)(2+15)
(5+17)
6 (5+√3)(3-√5)
(s+v5)(
M (VII - W7) (VII + (7)​

Answer 1

Step-by-step explanation:

Solution :

(i) (5+7–√)(2+5–√)

=5(2+5–√)+7–√(2+5–√)

=10+55–√+27–√+35−−√

(ii) (5+5–√)(5−5–√)

=(5)2−(5–√)2

using identity (a+b)(a−b)=a2−b2

=25−5=20

(iii) (3–√+7–√)2

=(3–√)2+(7–√)2+2(3–√)(7–√)

=3+7+221−−√

=10+221−−√

(iv) (11−−√−7–√)(11−−√+7–√)

=(11−−√)2−(7–√)2

=11−7=4

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