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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

- 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}

- 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...

- 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 –...

- 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...

- 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...

- 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...

- 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 [(...

- 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

- 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

...Asked by Ashwini kumar

Mar 28

- 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...

- 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...

- 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].

...

- 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;**

**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**

- 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

- 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

...

- 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
^{}...

- 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 }=...

- 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)

- 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....

- 1 Answer
- 0 Like
- 16581 Views

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