Question
Rationalising √2+√3√3−√2 will give __________.
Answer: Option B
:
B
We rationalise the denominator by dividing and multiplying the number by √2+√3.
So, we have
√2+√3√3−√2×√3+√2√3+√2
=(√3+√2)2√32−√22
=(√3)2+(√2)2+2√63−2
[Using the identity(a+b)2=a2+b2+2ab]
=5+2√6.
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:
B
We rationalise the denominator by dividing and multiplying the number by √2+√3.
So, we have
√2+√3√3−√2×√3+√2√3+√2
=(√3+√2)2√32−√22
=(√3)2+(√2)2+2√63−2
[Using the identity(a+b)2=a2+b2+2ab]
=5+2√6.
Was this answer helpful ?
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