Question

if x is equal to 4 minus root 15 find the value of root x + 1 upon root x​

Answer 1

Answer:

Here's your answer

Hope it helps you

Answer 2

Answer:

root 6

Step-by-step explanation:

If x=4-root15

Therefore, 1/x=1/4-root15

=1/(4-root15)×(4+root15)/(4+root15)

=1×(4+root)/(4)^2-(root15)^2 {As (a+b)(a-b)=a^2-b^2}

=4+root15/16-15

=4+root15

1/x=4+root15

Now (x+1/x)=(root x+1/root x)^2-2×root x×1/root x

(x+1/x)=(root x+1/root x)^2-2 { root x and 1/root x deducted}

Putting value of x and 1/x in LHS

(4-root 15+4+root 15)=(root x+1/root x)^2-2

4=(root x +1/root x)^2-2 {-root 15+root 15 =0}

4+2=(root x +1/ root x)^2

6=(root x+1/root x)^2

Square rooting both sides

root 6=root(root x+1/root x)^2

Therefore, rootx+1/root x=root6