Question

If √1+31/225=1+x/15 then the value of x is

Answer 1

Step-by-step explanation:

If x=8+2√15, then what is the value of √x+1/√x?

x=8+215−−√=8+25–√3–√

=5+3+25–√3–√=(5–√+3–√)2

⇒x−−√=(5–√+3–√) [A]

⇒1x√=15√+3√

Let’s see if we can simplify this fraction: We will multiply the numerator and denominator by (5–√−3–√) :

=5√−3√(5√+3√)(5√−3√)=5√−3√5−3=5√−3√2 [B]

To get our answer, we just need to add B to A:

5–√+3–√+5√−3√2

=25√+23√2+5√−3√2

=35√+3√2