Answer:
For the given square root, two closest perfect square are are 0 and 1 and their square roots are 0 and 1 respectively.
Step-by-step explanation:
[tex]\text{To find : Two closest square roots of }\sqrt{\frac{1}{5}}=\sqrt{0.2}\\\\ \sqrt{0}<\sqrt{0.2}<\sqrt{1}\\\\0<\sqrt{0.2}<1[/tex]
Hence, the two nearest square roots of the given square root are 0 and 1
For checking :
[tex]\sqrt{\frac{1}{5}}=\sqrt{0.2}=0.45[/tex]
And, clearly 0.45 lies between 0 and 1
⇒ √0 < √0.2 < √1
⇒ 0 < 0.45 < 1
Hence, For the given square root, two closest perfect square are are 0 and 1 and their square roots are 0 and 1 respectively.