Question

if x= 7+4 root 3 then find the value of root x +1/root xpls answer fast.

Answer 1

Answer:

4

Step-by-step explanation:

A = 7 +4√3

1/a = 1/( 7 + 4√3) = (7-4√3)/(7+4√3)(7-4√3)

=(7-4√3)/(49-48) = (7-4√3)

so, √a = √( 7 +4√3)

= √(2²+√3²+2.2√3)

=√(2 +√3)² = ( 2 +√3)

same way ,

1/√a = √(2² +√3² -2.2√3)

=√(2-√3)²

=(2 -√3)

now ,

√a + 1/√a = (2 +√3) + (2 - √3) =4

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