rationalise the denominator of the following and simplify
a) (√3-√2)/(√3+√2)
Answers
Answered by
0
Step-by-step explanation:
multiplydenominatorandnumeratorby
3
+
2
⇒
(
3
−
2
)(
3
+
2
)
(
3
+
2
)
2
⇒
3−2
3+2+2
6
=5+2
6
Answered by
1
Answer:
(√3-√2)
(√3+√2)
to rationalise the denominator
multiply (√3-√2) on both the numerator and denominator
(√3-√2) x (√3-√2)
(√3+√2) x (√3-√2). (a+b)(a-b)= a²- b²
= (√3-√2)²
(√3)²-(√2)²
(a-b)= a²-2ab+b²
= (√3)²-2(√3)(√2)+(√2)²
3-2
=3-2(√3)(√2)+2
1
= 5- 2(√6)
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