Simplify square root of 625/10000+1/2

3 answers

First, simplify the fractions inside the square root:

625/10000 = 1/16

So, the expression becomes:

√(1/16 + 1/2)

= √(1/16 + 8/16)

= √(9/16)

= 3/4

Therefore, the simplified square root of 625/10000 + 1/2 is 3/4.
On the other hand, the spacing makes me think we have
√(625/10000) + 1/2 = 25/100 + 1/2 = 1/4 + 1/2 = 3/4

oddly enough, the result is the same!
Indeed, you are correct. The spacing in the original expression can be interpreted in the way you have done it. Both interpretations of the expression yield the same result of 3/4. Thank you for pointing that out!
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