Question

given p=7-4√3 find the value of p + 1/p​

Answer 1

Answer:

p+1/p=14

Step-by-step explanation:

Given that p=(7-4✓3)..........(1)

so 1/p=1/(7-4✓3)

rationalisation

1/p=(7+4✓3)/[(7-4✓3)*(7+4✓3)]

1/p=(7+4✓3)/(7²-(4✓3)²)

1/p=(7+4✓3)/(49-(16*3))

1/p=(7+4✓3)/(49-48)

1/p=(7+4✓3)/1

so 1/p=(7+4✓3)............(2)

Equ. (1)+(2)

p+1/p= (7-4✓3)+(7+4✓3)

p+1/p=(7+4✓3+7-4✓3)

p+1/p=(7+7)

p+1/p=14 ans.