rationalize 1 upon 1 + root 2 + root 3
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Hey, sup!
As per the question,
1/1+√2+√3.
Multiplying and dividing by conjugate.
= 1/1+√2+√3. × 1+√2-√3/1+√2-√3.
= 1+√2-√3/(1+√2)^2-(√3)^2.
= 1+√2-√3/1+2+2√2-3.
= 1+√2-√3/2√2.
Multiplying and dividing by 2√2
= 1+√2-√3/2√2. × 2√2/2√2
= (2√2 +4-2√6)/8.
=2(√2+2-√6)/8.
=(2+√2-√6)/4.
Hope it helps.
As per the question,
1/1+√2+√3.
Multiplying and dividing by conjugate.
= 1/1+√2+√3. × 1+√2-√3/1+√2-√3.
= 1+√2-√3/(1+√2)^2-(√3)^2.
= 1+√2-√3/1+2+2√2-3.
= 1+√2-√3/2√2.
Multiplying and dividing by 2√2
= 1+√2-√3/2√2. × 2√2/2√2
= (2√2 +4-2√6)/8.
=2(√2+2-√6)/8.
=(2+√2-√6)/4.
Hope it helps.
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