Question

Rationalize 1/(4+√2+√5)​

Answer 1

Answer:

We Need To Rationalize The Denominator Of --

We Need To Rationalize The Denominator Of --Now To Rationalize Follow Some Simple Steps...

We Need To Rationalize The Denominator Of --Now To Rationalize Follow Some Simple Steps...1)) Find Rationalising Factor Of The Term ....

We Need To Rationalize The Denominator Of --Now To Rationalize Follow Some Simple Steps...1)) Find Rationalising Factor Of The Term ....That is here term which is to be RATIONALIZED is

We Need To Rationalize The Denominator Of --Now To Rationalize Follow Some Simple Steps...1)) Find Rationalising Factor Of The Term ....That is here term which is to be RATIONALIZED isSo Rationalising factor of this term is

We Need To Rationalize The Denominator Of --Now To Rationalize Follow Some Simple Steps...1)) Find Rationalising Factor Of The Term ....That is here term which is to be RATIONALIZED isSo Rationalising factor of this term isSo We Need To Multiply This Rationalising Factor To Both Numerator And Denominator As The Value Of Term

We Need To Rationalize The Denominator Of --Now To Rationalize Follow Some Simple Steps...1)) Find Rationalising Factor Of The Term ....That is here term which is to be RATIONALIZED isSo Rationalising factor of this term isSo We Need To Multiply This Rationalising Factor To Both Numerator And Denominator As The Value Of TermShould Not Be Changed .

We Need To Rationalize The Denominator Of --Now To Rationalize Follow Some Simple Steps...1)) Find Rationalising Factor Of The Term ....That is here term which is to be RATIONALIZED isSo Rationalising factor of this term isSo We Need To Multiply This Rationalising Factor To Both Numerator And Denominator As The Value Of TermShould Not Be Changed .That is ➡️

We Need To Rationalize The Denominator Of --Now To Rationalize Follow Some Simple Steps...1)) Find Rationalising Factor Of The Term ....That is here term which is to be RATIONALIZED isSo Rationalising factor of this term isSo We Need To Multiply This Rationalising Factor To Both Numerator And Denominator As The Value Of TermShould Not Be Changed .That is ➡️That is ➡️

We Need To Rationalize The Denominator Of --Now To Rationalize Follow Some Simple Steps...1)) Find Rationalising Factor Of The Term ....That is here term which is to be RATIONALIZED isSo Rationalising factor of this term isSo We Need To Multiply This Rationalising Factor To Both Numerator And Denominator As The Value Of TermShould Not Be Changed .That is ➡️That is ➡️So Now We Know An Indentity That Is ➡️

We Need To Rationalize The Denominator Of --Now To Rationalize Follow Some Simple Steps...1)) Find Rationalising Factor Of The Term ....That is here term which is to be RATIONALIZED isSo Rationalising factor of this term isSo We Need To Multiply This Rationalising Factor To Both Numerator And Denominator As The Value Of TermShould Not Be Changed .That is ➡️That is ➡️So Now We Know An Indentity That Is ➡️Now Applying This Identity In Denominator Where

We Need To Rationalize The Denominator Of --Now To Rationalize Follow Some Simple Steps...1)) Find Rationalising Factor Of The Term ....That is here term which is to be RATIONALIZED isSo Rationalising factor of this term isSo We Need To Multiply This Rationalising Factor To Both Numerator And Denominator As The Value Of TermShould Not Be Changed .That is ➡️That is ➡️So Now We Know An Indentity That Is ➡️Now Applying This Identity In Denominator Wherea = 4 & b = √5

We Need To Rationalize The Denominator Of --Now To Rationalize Follow Some Simple Steps...1)) Find Rationalising Factor Of The Term ....That is here term which is to be RATIONALIZED isSo Rationalising factor of this term isSo We Need To Multiply This Rationalising Factor To Both Numerator And Denominator As The Value Of TermShould Not Be Changed .That is ➡️That is ➡️So Now We Know An Indentity That Is ➡️Now Applying This Identity In Denominator Wherea = 4 & b = √5So We Have .......

We Need To Rationalize The Denominator Of --Now To Rationalize Follow Some Simple Steps...1)) Find Rationalising Factor Of The Term ....That is here term which is to be RATIONALIZED isSo Rationalising factor of this term isSo We Need To Multiply This Rationalising Factor To Both Numerator And Denominator As The Value Of TermShould Not Be Changed .That is ➡️That is ➡️So Now We Know An Indentity That Is ➡️Now Applying This Identity In Denominator Wherea = 4 & b = √5So We Have .......That Is ➡️

We Need To Rationalize The Denominator Of --Now To Rationalize Follow Some Simple Steps...1)) Find Rationalising Factor Of The Term ....That is here term which is to be RATIONALIZED isSo Rationalising factor of this term isSo We Need To Multiply This Rationalising Factor To Both Numerator And Denominator As The Value Of TermShould Not Be Changed .That is ➡️That is ➡️So Now We Know An Indentity That Is ➡️Now Applying This Identity In Denominator Wherea = 4 & b = √5So We Have .......That Is ➡️So We Have Rationalized Factor As ....

Answer 2

Step-by-step explanation:

$\huge\begin{lgathered}\frak\red{answEr}\end{lgathered}$

to rationalize=

1/(4+√2+√5)

====> to rationalize , we multiply the numerator and denominator by the conjugate of denominator...

_______________________________________

✨✨$\green{proceed}$✨✨

====> 1/(4+√2+√5) × (4+√2-√5)/(4+√2-√5)

====> (4+√2-√5)/(4+√2)²-(√5)²

$\begin{lgathered}\frak\blue{additional\: information}\end{lgathered}$

➡️ identity used::

✨a²-b²=(a+b)(a-b)✨

✨(a+b)²=a²+b²+2ab

====> (4+√2-√5)/(16+2+8√2)-5

====> 4+√2-√5/13+8√2

now, multiplying by 13-8√2....

====> (4+√2-√5)(13-8√2)/13²-8√2²

====>( 52+13√2-13√5-32√2-16+8√10)/169-128

====> (65-16 - 19√2-13√5+8√10)/41

====> (49-19√2-13√5+8√10)/41

so, this is the final answer....

the denominator is now free of roots and this process is called as rationalizing the denominator

hope it helps....

@jtg07

@RamSiyaKeLavKushUnit

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