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If x = 3 + 2√2, then the value of ❨ √x - 1 ❩ is: √x
1
2
2√2
3√3
Correct Answer:
2
Explanation:
❨
√
x
-
1
❩
2
=
x
+
1
- 2
√
x
x
= (3 + 2√2) +
1
- 2
(3 + 2√2)
= (3 + 2√2) +
1
x
(3 - 2√2)
- 2
(3 + 2√2)
(3 - 2√2)
= (3 + 2√2) + (3 - 2√2) - 2
= 4.
∴
❨
√
x
-
1
❩
= 2.
√
x
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