Question

the value of the irrational number \sqrt{0.75} is between which two rational numbers? 0.86 and 0.87; 0.84 and 0.85; 0.83 and 0.84; 0.85 and 0.86

Explanation:

Step1: Calculate square of 0.86

$0.86^2 = 0.7396$

Step2: Calculate square of 0.87

$0.87^2 = 0.7569$

Step3: Compare with 0.75

Since $0.7396 < 0.75 < 0.7569$, so $\sqrt{0.75}$ is between 0.86 and 0.87.

Answer:

0.86 and 0.87