Question 123482
I need help with this problem. My math teacher goes very fast and I sometimes have a hard time keeping up. I do not know how to get the same number under the radical. I dont know how to make 1250 and 32 the same so that I can subtract 8 from 2.
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I'm not sure what you mean here, assuming:
{{{sqrt(1250) - sqrt(32)}}} = 
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Factor as much as we can here
{{{sqrt(2*5*5*5*5) - sqrt(2*2*2*2*2)}}} = 
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Use this to see how many square we have in there
{{{sqrt(2*25*25) - sqrt(2*4*4)}}} = 
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Factor out the square roots of the perfect squares:
{{{5*5*sqrt(2) - 2*2*sqrt(2)}}} = 
which is
{{{25*sqrt(2) - 4*sqrt(2)}}} = 
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Now they are like terms so we an just subtract 4 from 25 and we have
{{{21*Sqrt(2)}}}
;
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We can check this on good calc like this
1st enter the original problem: {{{sqrt(1250) - sqrt(32)}}} = 29.698..
then
Enter our solution: {{{21*sqrt(2)}}} = 29.698.. also; proves our solution
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