Question

यदि x=1/√3+√2 तो 1/x का मान ज्ञात कीजिए​

Answer 1

Answer:Let  a=x−−√+1x√.  

Our aim to find ‘a’.

Now let’s take another variable ‘ b ’ to simplify our calculations:

b=a2  

Now since , a=x−−√+1x√.  

b=[x−−√+1x√]2  

b=x+1x+2.  

On simplifying first two terms of equation,We will have

b=x2+1x+2  

on substituting the value of ‘x, where x equals

x=2+3–√  

a = x−−√+1x√.  

b=[4+3+(2∗2∗3√)]+12+3√+2  

b=8+43√2+3√+2  

b = 4∗(2+3√)2+3√+2  

b=6  

now since initially we assumed that  b=a2  

=>a=b√  

a=6–√  

That’s the required expression, i.e

x−−√+1x√=6–√,  

if  x=2+3–√.  

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