Math, asked by nivesh2056, 9 months ago

Simplify (5+√5)(2-√5) class 9 maths

Answers

Answered by tennetiraj86
8

Answer:

5-3√5 is the answer for the given problem

Attachments:
Answered by rinayjainsl
0

Answer:

The simplification of the given term is

(5 +  \sqrt{5} )(2 -  \sqrt{5} ) = 5 - 3 \sqrt{5}

Step-by-step explanation:

The given expression of irrational terms is

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

The multiplication of the given irrational terms is done in the way as shown below.

 \\ (a +  \sqrt{b} )(c +  \sqrt{d} ) = ac + a \sqrt{d}  + c \sqrt{b} +  \sqrt{bd}

Hence our multiplication of the terms can be done in the following way

(5 +  \sqrt{5} ) \times (2 -  \sqrt{5} ) \\   = 5 \times 2 - 5 \times  \sqrt{5}  + 2 \times  \sqrt{5}  -  { \sqrt{5} }^{2}  \\  = 10 - 3 \sqrt{5}  - 5 \\  = 5 - 3 \sqrt{5}

Therefore,the simplification of the given irrational expression is

(5 +  \sqrt{5} )(2 -  \sqrt{5} ) = 5 - 3 \sqrt{5}

#SPJ2

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