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Sep 15, 2013



Aug 2, 2013

#### Give exmple of two irrational numbers whose- i) Sum is rational ii) Product is rational iii) Quotient is rational



1) (2 + √3) + (2 − √3) = 4
2) (2 + √3) × (2 − √3) = 22 − (√3)2= 4 − 3 = 1
3) �(√5/√5) = 1

Apr 26, 2014



Sep 25, 2013

####  If x=3-2√2 , find the value of √x+1/√x.



Given x = 3 – 2√2
⇒ x = 2 + 1 – 2√2
⇒ x = (√2)2 + 12 – 2 × √2 × 1
⇒ x = (√2 – 1 )

Mar 28, 2014

#### FIND FIVE RATIONAL NUMBER BETWEEN 1 AND 2



The rational number between a and b is (a + b)/2
Hence rational number between 1 and 2 is (1+2)/2 = 3/2
Rational number between 1 and 3/2 is [1+(3/2)]/2 = 5/4
Rational number between 1 and ...

Aug 12, 2014

#### prove that  √7 is  irrational ? is √100 same as √(100+ 36) give reasons ?



Sol:
let us assume that √7 be rational.

then it must in the form of p / q  [q ≠ 0] [p and q are co-prime]

√7 = p / q

=> √7 x ...

Apr 13, 2014

#### â2 to â10



How to create a spiral of sequential square roots:
1) Construct an isosceles right triangle ABC with side 1 inch. (You can use the corner of an index card to make sure you are constructing a perfec...

Aug 2, 2013



Mar 28, 2013