If x=3+2√2, find. √x=¹/√x
Answers
Answered by
1
Answer:
±2
Step-by-step explanation:
A
±2
x=3+2
2
⇒
x
1
=
3+2
2
1
⇒
x
1
=
3+2
2
1
×
(3−2
2
)
(3−2
2
)
=
(3
2
−(2
2
)
2
)
3+2
2
=
9−8
3−2
2
=3−2
2
∴x+
x
1
=3+2
2
+3−2
2
⇒x+
x
1
=6⇒x+
x
1
−2=6−2⇒
⎝
⎛
(
x
)
2
+(
x
1
)
2
−2×
x
×
x
1
⎠
⎞
=4
⇒(
x
−
x
1
)
2
=4⇒
x
−
x
1
=±
4
=±2
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