Question

efetue:
a) √3+√27=?
b)√75-√12=?
c)7√2+√50=?

Answer 1

a)
$\sqrt{3} + \sqrt{27} = \sqrt{3} + \sqrt{3^2.3} = \sqrt{3} +3 \sqrt{3} =4 \sqrt{3}$

b)
$\sqrt{75} - \sqrt{12} = \sqrt{3.5^2} - \sqrt{2^2.3} =5 \sqrt{3} -2 \sqrt{3} =3 \sqrt{3}$

c)
$7 \sqrt{2} + \sqrt{2.5^2} =7 \sqrt{2} +5 \sqrt{2} =12 \sqrt{2}$