Question

If x = 9 + 4✓5, then find the value of ✓x - 1/ ✓x. Note : ✓ indicate square root and / indicate division​

Answer 1

Answer:

Given,

x=9+4  

5

​

 

=>  

x

1

​

=  

9+4  

5

​

 

1

​

×  

9−4  

5

​

 

9−4  

5

​

 

​

 

=>  

x

1

​

=9−4  

5

​

 

Let y=  

x

​

−  

x

​

 

1

​

 

Squaring both sides,

y  

2

=x+  

x

1

​

−2

=>y  

2

=9+4  

5

​

+9−4  

5

​

−2

y=+4,−4

Step-by-step explanation: