Question

a.\(\sqrt{13^2-12^2}\)

b.\(\sqrt{17^2-8^2}\)

c.\(\sqrt{117^2-108^2}\)

d.\(\sqrt{313^2-312^2}\)

Answer 1

a, \(\sqrt{13^2-12^2}=\sqrt{\left(13-12\right)\left(13+12\right)}\)

\(=\sqrt{1.25}=\sqrt{25}=5\)

b, \(\sqrt{17^2-8^2}=\sqrt{\left(17-8\right)\left(17+8\right)}\)

\(=\sqrt{9.25}=\sqrt{9}.\sqrt{25}=3.5=15\)

c, \(\sqrt{117^2-108^2}=\sqrt{\left(117-108\right)\left(117+108\right)}\)

\(=\sqrt{9.225}=\sqrt{9}.\sqrt{225}=3.15=45\)

d, \(\sqrt{313^2-312^2}=\sqrt{\left(313-312\right)\left(313+312\right)}\)

\(=\sqrt{1.625}=\sqrt{625}=25\)

Chúc bạn học tốt!!!

Answer 2

a, \(\sqrt{13^2-12^2}=\sqrt{\left(13-12\right)\left(13+12\right)}=\sqrt{25}=5\)

b, \(\sqrt{17^2-8^2}=\sqrt{\left(17-8\right)\left(17+8\right)}=\sqrt{9.25}=15\)

c, \(\sqrt{117^2-108^2}=\sqrt{\left(117-108\right)\left(117+108\right)}\)

\(=\sqrt{9.225}=45\)

d, \(\sqrt{313^2-312^2}=\sqrt{\left(313-312\right)\left(313+312\right)}=\sqrt{625}=25\)