Question

\(\sqrt{\dfrac{16}{169}}-\sqrt{13^2-12^2}+\sqrt{(-5)^2}\)   giúp mik

Answer 1

\(\sqrt{\dfrac{16}{169}}-\sqrt{13^2-12^2}+\sqrt{\left(-5\right)^2}\)

\(=\dfrac{4}{13}-\sqrt{169-144}+5\)

\(=\dfrac{4}{13}-\sqrt{25}+5\)

\(=\dfrac{4}{13}+\left(5-5\right)\)

\(=\dfrac{4}{13}+0=\dfrac{4}{13}\)

 

Answer 2

\(\sqrt{\dfrac{16}{169}}-\sqrt{13^2-12^2}+\sqrt{\left(-5\right)^2}\)

\(=\sqrt{\left(\dfrac{4}{13}\right)^2}-\sqrt{\left(13+12\right)\left(13-12\right)}+\sqrt{\left(-5\right)^2}\)

\(=\left|\dfrac{4}{13}\right|-\sqrt{25.1}+\left|-5\right|\)

\(=\dfrac{4}{13}-5+5=\dfrac{4}{13}\)