Question

Calculati:
c)4√84-10√189-12√1029+2√525=
d)5√243+2√48-(8√300-6√363)=
va rog repede

Answer 1

$c)4 \sqrt{84} - 10 \sqrt{189} - 12 \sqrt{1029} + 2 \sqrt{525} = \\ \\ 4 \times 2 \sqrt{21} - 10 \times 3 \sqrt{21} - 12 \times 7 \sqrt{21} + 2 \times 5 \sqrt{21} = \\ \\ 8 \sqrt{21} - 30 \sqrt{21} - 84 \sqrt{21} + 10 \sqrt{21} = \\ \\ (8 - 30 - 84 + 10) \sqrt{21} = \\ \\ - 96 \sqrt{21}$

$d)5 \sqrt{243} + 2 \sqrt{48} - (8 \sqrt{300} - 6 \sqrt{363}) = \\ \\ 5 \times 9 \sqrt{3} + 2 \times 4 \sqrt{3} - (8 \times 10 \sqrt{3} - 6 \times 11 \sqrt{3}) = \\ \\ 5 \times 9 \sqrt{3} + 2 \times 4 \sqrt{3} - (80 \sqrt{3} - 66 \sqrt{3}) = \\ \\ 45 \sqrt{3} + 8 \sqrt{3} - 14 \sqrt{3} = \\ \\ 39 \sqrt{3}$