Question

Rút gọn biểu thức sau:

P= |5-căn24| +3+ căn24

 

Answer 1

\(P=\left|5-\sqrt{24}\right|+3+\sqrt{24}=5-\sqrt{24}+3+\sqrt{24}=8\)

Answer 2

\(P=\left|5-\sqrt{24}\right|+3+\sqrt{24}\)

TH1 : \(\left|5-\sqrt{24}\right|=5-\sqrt{24}\)

TH2 : \(\left|5-\sqrt{24}\right|=-5+\sqrt{24}\)

Với TH1 thì : \(\left|5-\sqrt{24}\right|+3+\sqrt{24}=5-\sqrt{24}+3+\sqrt{24}=8\)

Với TH2 thì : \(\left|5-\sqrt{24}\right|+3+\sqrt{24}=-5+\sqrt{24}+3+\sqrt{24}=-2+2\sqrt{24}\)

Answer 3

\(P=\left|5-\sqrt{24}\right|+3+\sqrt{24}\)

\(=5-\sqrt{24}+3+\sqrt{24}\)

\(=\left(5+3\right)+\left(-\sqrt{24}+\sqrt{24}\right)\)

\(=8+0=8\)

Answer 4

Trả lời:

\(P=\left|5-\sqrt{24}\right|+3+\sqrt{24}\)

\(P=5-\sqrt{24}+3+\sqrt{24}\)

\(P=8\)

Vậy \(P=8\)

Answer 5

P = \(\left|5-\sqrt{24}\right|\)\(+3+\sqrt{24}\)

   =  \(5-\sqrt{24}\)\(+3-\sqrt{24}\)

   = \(8\)

Vậy P = 8