Question

(√3-√5) (√5+√3)
______________
(7-2√5)




simplify it.


!quality answer only!​

Answer 1

Step-by-step explanation:

Solution:-

Given that (√3-√5)(√5+√3)/(7-2√5)

It can be written as

(√3-√5)(√3+√5)/(7-2√5)

Numerator is in the form of (a+b)(a-b)

We know that

(a+b)(a-b) = a^2-b^2

= [(√3)^2-(√5)^2]/(7-2√5)

=> (3-5)/(7-2√5)

=> -2/(7-2√5)

Denominator=7-2√5

we know that

Rationalising factor of a-√b = a+√b

Rationalising factor of 7-2√5 = 7+2√5

On Rationalising the denominator then

=> -2(7+2√5)/(7-2√5)(7+2√5)

=> -2(7+2√5)/[7^2-(2√5)^2]

=> -2(7+2√5)/(49-20)

=> -2(7+2√5)/29

or

=>( -14-4√5)/29

Answer:-

The required answer for the given problem is (-14-4√5)/29

Used formula:-

• (a+b)(a-b) = a^2-b^2

• Rationalising factor of a-√b = a+√b

Answer 2

The process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water is called photosynthesis.

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