Question

Help please!!!!

Drag the values into the boxes to classify each number as rational or irrational.


Rational:

Irrational:

19/5
sqr12√
sqr49√
0.3425563758
sqr4/25√
sqr1/8√
0.6¯

Answer 1

Rational:19/5,0.3425563758,0.6¯,sqr49√,

Irrational:sqr12√
sqr1/8√sqr4/25√

Answer 2

Answer: Rational Numbers are 19/5, √49,√(4/25), 0.3425563758,
`0.\overline{6}`

Irrational numbers are √12, , 1/√8,

Explanation:

Since a number which can be write in the form of p/q where q≠0 and p and q are integer then, is called rational number otherwise it is called irrational number.

And a number ( however it is rational number) after operating with irrational number always gives an irrational number.

19/5 is rational number because both 19 and 5 are integer and 5 ≠ 0

√12 is irrational number because it can be write as 2√3 where √3 is irrational.

√49 is rational because √49 = 7 is an integer ( and an integer is always a rational number)

0.3425563758 is rational number because we can write it in the form of p/q.

√4/25 is rational number, because √4/25=2/5 where both 2 and 5 are integer, and 5≠0

1/√8 is irrational number because 1/√8= 1/2√2=√2/4 where √2 is irrational number.

`0.\overline{6}` is rational number because
`0.\overline{6}`= 6/9 where both 6 and 9 are integers and 9≠0.