Show thatreciprocal of 372 root 2 is an irrational number

1.	Show thatreciprocal of 372 root 2 is an irrational number
Answer» Answer: Given : RECIPROCAL of 3 + 2√2 i.e., To prove : Reciprocal of 3 + 2√2 is an irrational number. Proof : First of all, rationalise the denominator of the reciprocal of 3 + 2√2. After RATIONALISING its denominator, we get ( 3 - 2√2 ) as a result. Now, LET US assume that ( 3 - 2√2 ) is an irrational number. So, taking a rational number i.e., 3 and subtracting from it. We have ; [ 3 - 2√2 - 3 ] ⇒ - 2√2 As a result, we get ( - 2√2 ) which is an irrational number. Hence, the reciprocal of ( 3 + 2√2) is an irrational number. Explanation: ADD ME IN BRAINE LIST

Answer»

Answer:

Given : RECIPROCAL of 3 + 2√2 i.e.,

To prove : Reciprocal of 3 + 2√2 is an irrational number.

Proof :

First of all, rationalise the denominator of the reciprocal of 3 + 2√2.

After RATIONALISING its denominator, we get ( 3 - 2√2 ) as a result.

Now, LET US assume that ( 3 - 2√2 ) is an irrational number. So, taking a rational number i.e., 3 and subtracting from it.

We have ;

[ 3 - 2√2 - 3 ]

⇒ - 2√2

As a result, we get ( - 2√2 ) which is an irrational number.

Hence, the reciprocal of ( 3 + 2√2) is an irrational number.

Explanation:

ADD ME IN BRAINE

LIST

Discussion

No Comment Found

Related InterviewSolutions

Name two ways in which science affect average man and woman?
This is what I wanted(split up)
She has been ill....cold
What was the elder brother response the orgress and the two orphans
Why do we have to observe appropriate language in different speech
What is meaning of collaboration. don't answer my second ID will answer or I will report you
D1Change the genders of the following: (10)The king loved the prince.2.the bride and bridegroom were very laughing a lot. 3.Mr. mahalo loved his son and daughter. 4.The girl loved the dance performed by the actor.5.The landlord was a kind man.
any short story by r.k narayan 500 words strictly dont spam other wise i will report all ur answers
(writing skills, grammar and translation)2. Write a Precis of the following paragraph in your own wordsPeople in this modern materialistic would are prone to suffer from seimbalance, anxiety, frustration and anger. It leads to many physical ailmerelationships and road rage Many broken homes, accidents and suicidesmental turmoil. The only panacea for this is meditation simple descopeis to sit silently with closed eyes and focus on breathing It may or may not beby music. It helps one to connect with deep inner self and raises the level of coThe first effort may not be perfect but with regular practice, one masters theThen the results start unfolding! it leads to peace of mind, better concentratanthought and complete relaxation. The situations do not change but it changesand attitude to these One learns to be calm and grounded in all circumssurrender to divine control. Gratitude takes the place of comandresentments. It is then that circumstances begin to change Lifeone becomes thankful for it only after practising meditation. Theindividual precis name
मेरा ख्याल जहन से मिटा ना सकोगे एक बार जो तुम मेरे गम से मिलोगे तो सारी उम्र मुस्कुरा ना सकोगे ।।।।।Arpan।।।।।