Question

rationalise root 3 + 1 / root 2

Answer 1

Answer

Answer

AnswerRationalizing the denominator

AnswerRationalizing the denominator\implies \rm \frac { \sqrt3 + 1 } { \sqrt2 }⟹23+1

AnswerRationalizing the denominator\implies \rm \frac { \sqrt3 + 1 } { \sqrt2 }⟹23+1We just need to remove root from denominator so that the denominator gets converted into a rational number.

AnswerRationalizing the denominator\implies \rm \frac { \sqrt3 + 1 } { \sqrt2 }⟹23+1We just need to remove root from denominator so that the denominator gets converted into a rational number.\implies \rm \frac { \sqrt3 + 1 } { \sqrt2 } x \frac { \sqrt2 }{ \sqrt2 }⟹23+1x22

AnswerRationalizing the denominator\implies \rm \frac { \sqrt3 + 1 } { \sqrt2 }⟹23+1We just need to remove root from denominator so that the denominator gets converted into a rational number.\implies \rm \frac { \sqrt3 + 1 } { \sqrt2 } x \frac { \sqrt2 }{ \sqrt2 }⟹23+1x22\implies\boxed{ \rm \frac { \sqrt6 + \sqrt2 } { 2 } }⟹26+2

Answer 2

Step-by-step explanation:

Question = 3+ 1/root2

1. cross multiply root

then required no. is ( 3 root2 + 1 ) / root 2

2. square whole number.

then required number is (3 root2 + 1 )^2 / 2

3. Simplify the number. by formula (a+b)^2 = a^2 + b^2 + 2ab.

then required number is.

[18 + 1 + 6 root2] / 2.

HENCE THE NUMBER YOU GOT IS THE ANSWER. i.e.

[19+6root2/2]

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