hiii.. please answer this question.... express the rational denominator of1÷root2+root3+root4
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1/[√2+√3+√4]
√4 =2
⇒1/[√2+√3+2]
now, rationalizing,
1×[(√2+√3)-2]/[(√2+√3)+2][(√2+√3)-2]
=[(√2+√3)-2]/[(√2+√3)²-2²]
=[(√2+√3)-2]/[2+3+2√6 -4]
=[(√2+√3)-2]/[1-2√6]
=[(√2+√3)-2]×[1+2√6]/[1-2√6]×[1+2√6]
=[(√2+√3)-2]×[1+2√6]/[1-4×6]
=[(√2+√3)-2]×[1+2√6]×(-1/23)
now, expand the numerator.
√4 =2
⇒1/[√2+√3+2]
now, rationalizing,
1×[(√2+√3)-2]/[(√2+√3)+2][(√2+√3)-2]
=[(√2+√3)-2]/[(√2+√3)²-2²]
=[(√2+√3)-2]/[2+3+2√6 -4]
=[(√2+√3)-2]/[1-2√6]
=[(√2+√3)-2]×[1+2√6]/[1-2√6]×[1+2√6]
=[(√2+√3)-2]×[1+2√6]/[1-4×6]
=[(√2+√3)-2]×[1+2√6]×(-1/23)
now, expand the numerator.
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