Rationalize the denominator
1 / 1 - √2
Answers
Answered by
1
Step-by-step explanation:
The number obtained on rationalizing the denominator of
7
−2
1
is
We use the identity (a+
b
)(a−
b
)=a
2
−b.
Multiply and divide
7
−2
1
by
7
+2 to get
7
−2
1
×
7
+2
7
+2
=
7−4
7
+2
=
3
7
+2
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Answered by
1
Answer:
1/1 - √2 =
1 × ( 1+ √2) / (1 - √2) × ( 1+ √2)
We recall that a² - b² = (a - b) ( a + b)
a = 1
b = √2
therefore
1 + √2 / 1² - √2²
= 1 + √2 / 1 + 2
= 1 + √2 / 3
Step-by-step explanation:
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