Question

answer this questions by tomorrow morning

Answer 1

HEYA!

SOLUTIONS

1)

i. √27                    =  rational number

ii. √441                 =  rational number

iii. 30.232342345   =  rational number

iv. 7.484848...       =  rational number

v. 11.2132435465  =  rational number

vi. 0.3030030003...=  irrational number

2) see the attachment

3)

We know that, an irrational number between two given rational numbers is in the form of √ab where a and b are given numbers.

a = 5/7 and b = 7/9

One rational number = √5/7 × 7/9 = √5/9

Infinite number of irrational numbers will be in between two given numbers 5/7 and 7/9

4)

Given nos.:- 0.7 and 0.77

(1)  \sqrt{(0.7)(0.77)} = \sqrt{0.539}  is an irrational no. between them.

(2) Another no. can be 0.76898035654..................

(3) Another one: 0.7123456789...............

5)

Procedure to find square root by long

division method:

* i ) after 5 , place decimal point .

* ii ) after decimal point write zeroes.

* iii ) Group ' 0 ' in pairs and put a bar over them .

* iv ) then after follow the method of find the square root of perfect square .

Square root of a perfect square by

___________________________

the long division method:

___________________

1 ) Group the digits in pairs , starting with the digit in the units palce.Each pair and the remaining digit is called a period .

2 ) Find the largest number whose square is equal to or just less than the first period. Take this number as the divisor and as the quotient.

3 ) Subtract the product of the divisor and the quotient from the first period and bring down the next period to the right of the remainder. This becomes the new remainder.

4 )Now , the new divisor is obtained by taking two times the quotient and annexing with it a suitable digit which is also taken as the next digit of the quotient chosen in such a way that the product of the new divisor and this digit is equal to or just less than the new dividend.

5 ) Repeat steps 2, 3 and 4 till the periods have been taken up.

2 l 5 . 00 00 00 00 00 l 2 . 2360

l4

l___________

42l 1 00

l 084

___________

443 l 16 00

l 13 29

_________________

4466 l 271 00

l 26796

_______________

44720 l 30400

l 00000

_____________

Therefore

Sqrt 5 = 2. 2360

= 2.236

6)Square root of 7 up to seven decimal places by long division method.

√7 = 2.645751

see the attachment to see the division

7) see the attachment

8) 2 irrational numbers are

2.30300300030000...........

2.440440044000........

you can write any number btwn 2 &3

9)

HOPE THIS HELPS

:)

Answer 2

Answer:

I hope help for u do gghvsthxt