Math, asked by vishwanadham, 11 months ago

find the value of root 5 + root 2 whole square​

Answers

Answered by spandan90
14

Answer:

  • (root 5 + root 2) 2
  • root5 square +2*root5*root2 +root2 square
  • 5 + 2root 10+2
  • 7+ 2root 10

Answered by KomalSrinivas
4

The answer of the given sum is 7 + 2\sqrt{5} \sqrt{2}.

Given: (\sqrt{5} + \sqrt{2} )^{2}

To Find: Value of the given sum

Solution:

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

Following the formula, (a + b)² = a² + 2ab + b², we get,

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

= 5 + 2\sqrt{5} \sqrt{2} + 2

= 7 + 2\sqrt{5} \sqrt{2}

Answer: 7 + 2\sqrt{5} \sqrt{2}

Note

  • In the given sum, we need to use the algebraic expression of (a + b)².
  • We can keep the root values in their root over form if we do not know the values of the root over functions.
  • We need to break down the sum to its simplest form.

#SPJ3

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