Question

If a = 2+ √3, then the value of 1/a is *
2+ √3
2 -√3
√3 - 2
1​

Answer 1

Answer:

$\huge\red{ANSWER}$

GIVEN THAT

a=2+ √3

THEN VALUE OF

a–1/a=2+ √3 1/2+ √3

=2+ √3 –1/2+ √3 ×

2– √3/2– √3 (ON RATIONALISE)

=2+ √3 – (2– √3)/4–3

= 2+ √3 – 2+ √3

= 2 √3

$\huge\fbox\colorbox{CYAN}{HENCE PROVED}$

Answer 2

Answer:

$\huge\red{ANSWER}$

GIVEN THAT

a=2+ √3

THEN VALUE OF

a–1/a=2+ √3 1/2+ √3

=2+ √3 –1/2+ √3 ×

2– √3/2– √3 (ON RATIONALISE)

=2+ √3 – (2– √3)/4–3

= 2+ √3 – 2+ √3

= 2 √3

$\huge\fbox\colorbox{CYAN}{HENCE PROVED}$