Question

rove that V3 is irrational no.
Find value of (4+root3)-(4-root3)
Find HCF of 12 and 36 bu Enc
Solvex+y=-1 and x-y=2 by s
If product of zeroes of polynom
x2 - 6x-6) is 4 find value of a
3) Short answer type question​

Answer 1

(4 + √3 ) / ( 4 - √3) =  19/13  +   8 √3 /13

Step-by-step explanation:

(4 + √3 ) / ( 4 - √3)

Rationalizing by multiplying numerator & Denominator by  4 + √3

=  (4 + √3 ) (4 + √3 ) / (4 - √3 ) (4 + √3 )

= (16 + 3  + 8 √3)/(16 - 3)

= ( 19 + 8 √3)/13

= 19/13  +   8 √3 /13

HCF of 12 & 36  is 12

as 36 = 12 * 3

x + y = 1

x - y = 2

Adding both

2x = 3

=> x = 3/2

    y = -1/2

ax² - 6x  -  6    

product of zeroes of polynomial is 4

=> 4 =  -6/a

=> a = - 3/2

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