Question

1/Tính:

a)\(\sqrt{\left(\sqrt{3}-2\right)^2}+\sqrt{\left(1+\sqrt{3}\right)^2}\)

Answer 1

Answer 2

\(1.\sqrt{\left(\sqrt{3}-2\right)^2}+\sqrt{\left(1+\sqrt{3}\right)^2}=\sqrt{\left(2-\sqrt{3}\right)^2}+\sqrt{\left(1+\sqrt{3}\right)^2}=2-\sqrt{3}+1+\sqrt{3}=3\) \(2a.\sqrt{x^2-2x+1}=7\)

⇔ \(x^2-2x+1=49\)

⇔ \(x^2-2x-48=0\)

⇔ \(\left(x+6\right)\left(x-8\right)=0\)

⇔ \(x=8orx=-6\)

\(b.\sqrt{4x-20}-3\sqrt{\dfrac{x-5}{9}}=\sqrt{1-x}\)

⇔ \(2\sqrt{x-5}-\sqrt{x-5}=\sqrt{1-x}\)

⇔ \(x-5=1-x\)

⇔ \(x=3\left(KTM\right)\)

KL.............