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Rationlaise the denominator 1/√8+√3-√11 |
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Answer» 1/√8+√3-√11.Rationalising DENOMINATOR of √8+√3-√11 is √8+√3+√11.Multiply numerator & denominator by √8+√3+√11.1/√8+√3-√11×√8+√3+√11/√8+√3+√11.√8+√3+√11/(√8+√3)²-(√11)² (Because (a-b)×(a+b)=a²-b² where a=√8+√3 & b=√11).√8+√3+√11/(√8)²+(√3)²+2(√8)(√3)-11. (Because (a+b)²=a²+b²+2ab where a=√8 & b=√3 & √ & ² will CANCEL).√8+√3+√11/8+3+2√24-11. (Because √8×√3=√24 & √ & ² will cancel).√8+√3+√11/11+2√24-11.√8+√3+√11/2√24. (Because +×-=- so, 11 & -11 will cancel).I THINK this is your ANSWER. |
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