Processing Math: Done
To print higher-resolution math symbols, click the
Hi-Res Fonts for Printing button on the jsMath control panel.

jsMath

Solution 3.1:6b

From Förberedande kurs i matematik 1

Jump to: navigation, search

The root sign in the denominator lies in a quadratic term and we therefore expand first the quadratic

(32)2=(3)2232+22=343+4=743.

Thus,

1(32)22=17432=1543

and in the expression we can get rid of the root sign from the denominator by multiplying the top and bottom of the equation by the conjugate 5+43 ,

1543=15435+435+43=5+4352(43)2=5+435242(3)2=5+4325163=235+43=235+43.