rationalising factor of 2√3-5√2
Answers
Answered by
12
Answer:
(2+
3
+
5
)(2+
3
−
5
)=(2+
3
)
2
−(
5
)
2
=4+3+4
3
−5=7+4
3
−5
=2+4
3
=2(1+2
3
)
Now, conjugate of factor 1+2
3
is 1−2
3
=(1+2
3
)(1−2
3
)=1
2
−(2
3
)
2
=1−4×3=−11
∴(2+
3
+
5
)(2+
3
−
5
)(1−2
3
)
=2(1+2
3
)(1−2
3
)
=2(1
2
−(2
3
)
2
)=2(1−12)=−22,which is rational
Hence, (2+
3
−
5
)(1−2
3
) is the simplest rationalising factor of 2+
3
+
5
Answered by
0
Concept Introduction: Rationalising is the basic mathematics.
Given:
We have been Given:
To Find:
We have to Find: Rationalising Factor of the given Equation.
Solution:
According to the problem, The Rationalising Factor of
therefore the Rationalising Factor of the given Equation will be,
Final Answer: The Rationalising Factor of the given Equation is
#SPJ2
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