4. Which of the following i a positive 1stinal nanher
d.
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Answer:
This question is dealing with rationalisation of a fraction. Rationalisation is performed to eliminate irrational expression in the denominator. For this particular case we can do this by applying the following rule: (a−b)(a+b)=a2−b2.
Multiple both numerator and denominator by
√
n+1
+
√
n
:
√
n+1
+
√
n
(
√
n+1
−
√
n
)(
√
n+1
+
√
n
)
=
√
n+1
+
√
n
(
√
n+1
)2−(
√
n
)2)
=
√
n+1
+
√
n
n+1−n
=
√
n+1
+
√
n
.
Step-by-step explanation:
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