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# help

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How to solve -30/(2250-0.75*40*40)^0.5 ? I need detail solution of it

Dec 9, 2019
edited by Guest  Dec 9, 2019

#1
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I'll do it in parts using the Web2.0 calculator:

2250-0.75*40*40 = 1050

1050^(.5) = 32.4037034920393012

-30/ 32.4037034920393012 = -0.9258200997725514603

Dec 9, 2019
#2
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But can i somehow solve it without calculator?

Guest Dec 9, 2019
#3
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You can do it 'long hand' with a pencil and paper......the hard part will be finding the squre root of the denominator!

i can get to here just 'in my head'

-30 / sqrt(1050)      then it gets more involved  You can estimate the square root in your head as 32 point someithing....but then you have to do the division long hand......

ElectricPavlov  Dec 9, 2019
#4
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Lets see

$$\frac{-30}{(2250-0.75*40*40)^{0.5}}\\ =\frac{-30}{\sqrt{(2250-0.75*40*40)}}\\ =\frac{-30}{\sqrt{(2250-75*4*4)}}\\ =\frac{-30}{\sqrt{25(90-3*4*4)}}\\ =\frac{-30}{5\sqrt{(42)}}\\ =\frac{-6}{\sqrt{(42)}}\\ =\frac{-6\sqrt{42}}{42}\\ =\frac{-\sqrt{42}}{7}\\$$

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Dec 10, 2019