Math, asked by aqifpokemon, 10 months ago

Find two rational numbers and irrational numbers between 3/5 and 5/6

Answers

Answered by CuriousTesla
10

Two rational between them:

3/5=18/30 ; 5/6 = 25/30

So , two between them r :

19/30 ; 20/30 .

Any two irrational numbers :

0.63333383838838838288636328383838.....

0.66666676555627776262577888544678......

MARK BRAINLIEST .

100% CORRECT.

Answered by mahajan789
0

Two rational numbers between 3/5 and 5/6 are \frac{43}{60}\ and\ \frac{79}{120} and two rational numbers and irrational numbers between 3/5 and 5/6 are \sqrt{\frac{1}{2} }\ and\ \sqrt{\frac{3}{10} }

Explanation: Irrational numbers cannot be stated as a fraction, although rational numbers can be expressed as ratios (such as P/Q and Q0). However, both of the numbers are genuine and can be shown on a number line.

To find two rational nos, between \frac{3}{5}\ and\ \frac{5}{6}

We just have to keep on finding the average.

So, For rational no. 1

=\frac{\frac{3}{5}+ \frac{5}{6}}{2}\\=\frac{\frac{43}{30}}{2}\\=\frac{43}{60}

For rational no. 2

=\frac{\frac{3}{5}+ \frac{43}{60}}{2}\\=\frac{\frac{79}{60}}{2}\\=\frac{79}{120}

To find two irrational no. we fine the geometric mean

So, irrational no. 1,

=\sqrt{\frac{3}{5}\times \frac{5}{6}}\\=\sqrt{\frac{1}{2}}

For irrational no. 2

=\sqrt{\frac{3}{5}\times \frac{1}{2}}\\=\sqrt{\frac{3}{10}}

To know more about rational and irrational nos, click on the links below:

https://brainly.in/question/232732?msp_srt_exp=5

https://brainly.in/question/3924215?msp_srt_exp=5

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