Question

вычислите 10√3-√48-√75

Answer 1

$10 \sqrt{3}-\sqrt{48} -\sqrt{75} =10 \sqrt{3}-\sqrt{3*16} -\sqrt{3*25} = \\ =10 \sqrt{3}-\sqrt{3*4^{2}} -\sqrt{3*5^{2}}=10 \sqrt{3}-4\sqrt{3}-5\sqrt{3}=\sqrt{3}(10-4-5)= \\ =\sqrt{3}*1=\sqrt{3}=1,732$