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Answered by
1
Answer:
Hello mate..
Step-by-step explanation:
Given:
if x=3+2 root 2, find the value of root x-1/root x
Solution:
x = 3 + 2
= 1 + 2 + 2
=(1 + )2
After simplification, we get
= 2
= 2
To know more:
If x=(7+4 root3) then find value root x + 1/rootx
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Answered by
4
Answer:
x=√3 +√2 /√3-√2
by rationalising
√3+√2/√3-√2× √3+√2/√3+√2
= (√3+√2)²/(√3+√2×√3-√2)
identities =
(a+b)²= a²+b²+2ab
a^2-b^2= (a+b)(a-b)
= (√3)²+(√2)²+2(√2×√3)/ (√3)²-(√2)²
= 5+2√6/3-2
= 5+2√6
in same way y =
5-2√6
xy =
(5+2√6)(5-2√6)
= (5)²-(2√6)²
= 25-24
= 1
x+y+xy=
5+2√6+5-2√6+1
2+√6 and2-√6 gets cancelled
= 5+5+1
= 11
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