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Agam answered 1 year(s) , 10 month(s) ago

Give exmple of two irrational numbers whose sum is rational

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

Asked by Meghna

Aug 2

  • 4 Answers
  • 7 Likes
  • 52899 Views
Agam answered 1 year(s) , 10 month(s) ago

Arrange in ascending order: root 3, 3root 4, 4root 6


LCM of the denominators of exponents 2, 3 and 4 is 12

Hence the ascending order of the given numbers is

Asked by Arjun

Sep 15

  • 4 Answers
  • 3 Likes
  • 52121 Views
Syeda answered 1 year(s) ago

represent root 17 on the number line

Sol :
We know that √16 = 4 and √17 = √(4 2 +1 2 )

mark point A representing 4 on number line .Now construct AB of unit length perpendicular to Oa .Then taking O...

Asked by Nandana

Apr 26

  • 2 Answers
  • 4 Likes
  • 44539 Views
Jayanth commented 5 year(s) , 8 month(s) ago

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 + 1 2 – 2 × √2 × 1
⇒ x = (√2 – 1 ) 2
∴ √x = (√2 – 1 )
Now consider, (1/√x) = 1/(√2 –...

Asked by Jayanth

Sep 25

  • 1 Answer
  • 5 Likes
  • 44103 Views
Kishore answered 5 year(s) , 2 month(s) ago

Find five rational number between 1and 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 a...

Asked by Maninder

Mar 28

  • 1 Answer
  • 3 Likes
  • 42368 Views
Agam answered 1 year(s) , 10 month(s) ago

How to make square root spiral?

 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 perfect ri...

Asked by Hema

Apr 13

  • 3 Answers
  • 0 Like
  • 40820 Views
Raghunath answered 4 year(s) , 10 month(s) ago

prove that root of 7 is irrational ?

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 q = p

squarin...

Asked by Trissha

Aug 12

  • 1 Answer
  • 4 Likes
  • 39613 Views
Kishore answered 5 year(s) , 10 month(s) ago

If a = 7-4√3, find the value of √a+ 1/√a

Consider, a = 7 – 4√3
= 7 – 2×2×√3
= 4 + 3 – 2×2× √3
= 2 2 + (√3) 2 – 2×2× √3
a = (2 – √3) 2
∴ √a = 2 – √3  

Hence [(...

Asked by Meghna

Aug 2

  • 1 Answer
  • 9 Likes
  • 38411 Views
Madhumithaa answered 4 year(s) , 1 month(s) ago

Rational numbers between 3 and 4

rational numbers between 3 and 4 are
3 = 3/1* 7/7 = 21/7
4 = 4/1* 7/7 = 28/7
thus rational numbers between 3 (21/7) and 4 (28/7) are
22/7 , 23/7 , 24/7 , 25/7 , 26/7 , 27/7

Asked by Syed

Sep 25

  • 2 Answers
  • 5 Likes
  • 36208 Views
Syeda answered 1 year(s) ago

Represent root 11 on the number line

Representation of √7 and √11 on the number line:

Consider the number shown here

Mark point A at 0 and B at 1. Consider BC  ⊥ AB such that BC = 1 unit

Complete the right angled triang

...

  • 4 Answers
  • 4 Likes
  • 34540 Views
Kishore answered 5 year(s) , 10 month(s) ago

Rationalise the denominator

Consider,
Rationalize the denominator with its conjugate

Since the denominator is still an irrational number, rationalize once again with "√30"

Hence the denominator...

Asked by Meghna

Aug 2

  • 1 Answer
  • 5 Likes
  • 32551 Views
Raghunath answered 4 year(s) , 11 month(s) ago

A positive integer n is divided by 9 gives 7 as the remainder , what will be the remainder when 3n-1 is divided by 9.

Sol:
Given A positive integer n is divided by 9 gives 7 as the remainder.
Let a be quotient
n = 9a+7
3n-1 is divided by 9
now, 3n-1= 3(9a+7)-1
  =27a + 21-1...

Asked by Jayanth

Jun 25

  • 1 Answer
  • 1 Like
  • 24027 Views
Agam answered 1 year(s) , 10 month(s) ago

Represent the square root 7 on number line

Representing √7 on the numberline is very easy and interesting, just follow the steps given below -:
1. Draw a numberline [locating only 0,1,2 & 3 is necessary].
...

Asked by Kanishka

May 25

  • 3 Answers
  • 1 Like
  • 22509 Views
Padma answered 2 year(s) , 4 month(s) ago

you can use these numbers (1,3,5,7,9,11,13,15) you can also repeat this numbers.you will notice that only ias topper gourav agarwal can solve it. this question was asked in UPSC final exam held in december 2013 in india. pls answer it soon.

Using non-trick solutions;

  1. There is no solution to this question using normal methods, as three odd numbers added together will always produce an odd number ( Is it p
...

Asked by Praveen

Sep 28

  • 2 Answers
  • 1 Like
  • 20139 Views
Kishore answered 5 year(s) , 9 month(s) ago

If a and b are rational numbers and 2+√3/2-√3=a+b√3

Given (2+√3)/(2 -√3) = a + b√3
Multiply and divide with (2 -√3)

On comparing both the sides, we get
a= 7 and b = 4

Asked by Neha

Sep 4

  • 2 Answers
  • 2 Likes
  • 20103 Views
Agam answered 1 year(s) , 5 month(s) ago

Perpendicular are drawn on the sides of the equilateral triangle from any point within the triangle. If the lengths of these perpendiculars be 6cm ,7cm,and 9cm then the length of a side of the triang

Sol:

Let ∆ABC be an equilateral triangle.
 
Length of each side be ‘a’ cm.
 
O is a point in the interior of the triangle. OX⊥BC, OY⊥CA and OZ⊥AB
 ...

Asked by Uday

Jan 2

  • 2 Answers
  • 3 Likes
  • 19493 Views
Suraj answered 5 year(s) , 5 month(s) ago

If 102y=25, then 10-y=?

Given 10 2y = 25
⇒ ( 10 y) 2  = 5 2
⇒ ( 10 y ) = 5
⇒ ( 10 y ) -1 = (5) -1
∴   10 ...

Asked by Ankur

Dec 31

  • 2 Answers
  • 3 Likes
  • 19169 Views
Kishore answered 5 year(s) , 10 month(s) ago

If 5x-3. 32x-8 = 225,then find the value of x.

5 x-3.  3 2x-8 = 225
                 = 3 × 75 
                 = 3 × 3 × 25 
                 = 3 × 3 × 5 × 5
∴ 5 x-3.  3 2x-8 =...

Asked by Meghna

Aug 2

  • 1 Answer
  • 2 Likes
  • 18816 Views
Kishore answered 5 year(s) , 9 month(s) ago

How to find the decimal expansion of √2 ?


Hence √2 = 1.4142 (nearly)

Asked by Syed

Aug 26

  • 1 Answer
  • 1 Like
  • 17766 Views
Kishore answered 5 year(s) , 8 month(s) ago

Find two irrational numbers between 1/7 and 2/7.

(1/7) = 0.14285714 (nearly)
(2/7) = 0.28571428 (nearly)
 Irrrational numbers between these two rational numbers are:
0.1505005000500005....
0.20200200020000....

Asked by Meghna

Sep 21

  • 1 Answer
  • 0 Like
  • 16581 Views
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