Question

please please solve this for me

Answer 1

Answer:

14

Step-by-step explanation:

x = ( 7 + 4√3 )

⇒ 1 / x = 1 / 7 + 4√3

Rationalising the denominator we get,

⇒ 1 × ( 7 - 4√3 ) / ( 7 + 4√3 ) × ( 7 - 4√3 )

⇒ ( 7 - 4√3 ) /  7² - ( 4√3 )²

⇒ ( 7 - 4√3 ) / 49 - 48

⇒ ( 7 - 4√3 ) / 1 = 7 - 4√3

Hence 1 / x = 7 - 4√3

Now x and 1 / x we get,

⇒ 7 + 4√3 + 7 - 4√3

⇒ 14 + 0

⇒ 14