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01 Jun 2026, 14:18
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GG27
Think of it this way: 0.17 is very close to 0.16 = 0.4^2, but far from 0.25 = 0.5^2. So \(\sqrt{0.17}\) must be only slightly greater than 0.4 and clearly closer to 0.4 than to 0.5.
21 Jun 2026, 21:49
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Let sqrt 0.17 = a
Now a is between sqrt 0.16 (which is 0.4) and sqrt 0.25 (which is 0.5) , meaning a is between 0.4 and 0.5.
Now think about how this will look on the number line:
0.4 ........................................................................0.45............................................................................0.5
sqrt 0.16 .......sqrt 0.17...... sqrt 0.18.....................0.45............................................................sqrt 0.24... sqrt 0.25
since 0.17 is much more closer to 0.16 than it is to 0.25 , it will be definitely less than the mid point between 0.4 and 0.5. Hope this helps!
Now a is between sqrt 0.16 (which is 0.4) and sqrt 0.25 (which is 0.5) , meaning a is between 0.4 and 0.5.
Now think about how this will look on the number line:
0.4 ........................................................................0.45............................................................................0.5
sqrt 0.16 .......sqrt 0.17...... sqrt 0.18.....................0.45............................................................sqrt 0.24... sqrt 0.25
since 0.17 is much more closer to 0.16 than it is to 0.25 , it will be definitely less than the mid point between 0.4 and 0.5. Hope this helps!
GG27
abhikc3004
27 Jul 2026, 12:24
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Bringing it in terms of 1/2 - some quantity was quite smart. Thanks for the tip.
