Question

find the value of x if bracket root 3 bracket 2 power x barabar 10 power 7

Answer 1



Secondary School

Math

5 points

If x= 7+4 root 3 then find the value of root x +1/root x
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 by 1302200021.08.2014

Answers

First of all, notice that 

7 + 4 sqrt(3) 

= 4 + 2 sqrt(3) + 2 sqrt(3) + 3 

= (2 + sqrt(3))^2 

Now, since 

√x + 1/√x = (x + 1) / sqrt(x), 

Substitute 7 + 4 sqrt(3) for x: 

= (7 + 4 sqrt(3) + 1) / sqrt(7 + 4 sqrt(3)) 

Collect terms: 

= ( 8 + 4 sqrt(3)) / (2 + sqrt(3)) 

Factor the numerator: 

= 4 [ ( 2 + sqrt(3) ) / (2 + sqrt(3)) ] 

= 4 (1) 

= 4

Answer 2

Answer:

Step-by-step explanation:

Xroot 3×2=10^7

Xroot6=10^7

Adding power of 6 on both sides

X=10^42