Question

if a=7-4√3find the value of √a+1/√a​

Answer 1

Answer:

Step-by-step explanation:

a=7−43–√(Given)

Let x=a−−√+1a−−√⇒x2=(a−−√+1a−−√)2⇒

x2=(a−−√)2+(1a−−√)2+2×a−−√×1a−−√

⇒x2=a+1a+2

⇒x2=7−43–√+17−43–√+2

⇒x2=7−43–√+7+43–√+2       [∵17−43–√×7+43–√7+43–√=7+43–√]

⇒x2=16

⇒x=±4

⇒a−−√+1a−−

√=±4