Math, asked by KingzSoul, 7 months ago


 \sqrt{3 - 2 \sqrt{2} }

Answers

Answered by anindyaadhikari13
2

\bf\large\underline\blue{Question:-}

  • Evaluate  \sqrt{3 - 2 \sqrt{2} }

\bf\large\underline\blue{Solution:-}

  • Before we start, we have to know the identity to be used while solving this problem.
  • Only one identity is needed for solving this. Here is the identity \downarrow
  •  {(x - y)}^{2}  =  {x}^{2}  +  {y}^{2}  - 2xy

Now, we will solve the problem,

 \sqrt{3 - 2 \sqrt{2} }

Can be written as,

 \sqrt{2 + 1 - 2 \sqrt{2} }

 =  \sqrt{( \sqrt{2})^{2}  +  {( \sqrt{1} )}^{2}  - 2 \times  \sqrt{1}  \times  \sqrt{2} }

 =  \sqrt{ {( \sqrt{2} - 1) }^{2} }

 =  \pm ( \sqrt{2}  - 1)

Hence, the required answer is  \pm ( \sqrt{2}  - 1)

\bf\large\underline\blue{Answer:-}

  • Answer is  \pm( \sqrt{2}  - 1)
Answered by genius1947
0

Answer:

Galileo di Vincenzo Bonaiuti de' Galilei was an Italian astronomer, physicist and engineer, sometimes described as a polymath, from Pisa. Galileo has been called the "father of observational astronomy", the "father of modern physics", the "father of the scientific method", and the "father of modern science". 

Step-by-step explanation:

Galileo di Vincenzo Bonaiuti de' Galilei was an Italian astronomer, physicist and engineer, sometimes described as a polymath, from Pisa. Galileo has been called the "father of observational astronomy", the "father of modern physics", the "father of the scientific method", and the "father of modern science". 

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