Question

6.If x = √3 + √2 then find the value of x 2 (49 + 20√6) √3 - √2

Answer 1

Given :   x = √3 + √2  

To find :  x² (49 + 20√6) (√3 - √2)   or x² (49 + 20√6)/ (√3 - √2)

Solution:

x = √3 + √2

x²  = (√3 + √2)²  =  3 + 2 + 2√6  = 5 + 2√6

x⁴ = (x²)² = (5 + 2√6)² = 25 + 24 + 20√6  = 49 + 20√6

1/x = 1/(√3 + √2 )  = √3 -  √2

x²   (49 + 20√6) (√3 - √2)

=x²(x⁴) (1/x)

= x⁵

= ( √3 + √2 )⁵

x²   (49 + 20√6) /(√3 - √2)

= x²(x⁴) (x)

= x⁷

= (√3 + √2 )⁷

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Answer 2

Answer:

(49+20√6)

Step-by-step explanation:

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