rationalise 2/(3-2√2)
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To rationalize 2/3-√2
Multiply the numerator and denominator by the additive inverse of 3-√2
ie, 3+√2
2/3-√2
=2/3-√2×3+√2/3+√2
=2(3+√2)/(3-√2)(3+√2)
=6+2√2/(3^2-√2^2)
The denominator was of the form (a+b)(a-b)=a^2-b^2
=6+2√2/6-2 Since in (√2)^2 root and square get cancelled =2
=6+2√2/4
Therefore the answer is 6+2√2/4
Hope it helps u..!!!!...
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