# How to simplify this ? ans is = 1.5-3root2

2
by namku

2015-04-14T15:06:58+05:30

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Next try to write as a perfect square using the identity

with some trial and error you will be able to break like this

plug this in your main expression and simplify
awesome thanks
yw! the trick is to express 17+12sqrt(2) as a perfect square using that identity
yup superb thanku
2015-04-15T04:59:04+05:30

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If you want to find such solutions to square roots of some irrational numbers, in general we can follow the following procedure.  We arrive at a quadratic equation.  We find the solution and again combine back to get the final answer.

if you are able to get a short cut easily, do that way,  Otherwise follow this way.

Here we have only taken the positive values of a and b.