Math, asked by SyedaArshiyafatima, 11 months ago

Evaluate (root5-2root2)square

Answers

Answered by Hb1996
1

Answer:

13 - 4 \sqrt{10}

Step-by-step explanation:

 {( \sqrt{5} - 2 \sqrt{2})  }^{2}

using \: identity \\  {(a - b)}^{2}  =  {a}^{2}  - 2ab +  {b}^{2}

 =  ({ \sqrt{5} })^{2}  - 2 \times  \sqrt{5}  \times 2 \sqrt{2}  + ( {2 \sqrt{2} })^{2}

 = 5 - 4 \sqrt{10}  + 8

 = 13 - 4 \sqrt{10}

Similar questions