Question

Evaluate (√2+√3)²-(√5-√2)²

Answer 1

Concept Introduction: Roots are the basic concept of Mathematics.

Given:

We have been Given:

${( \sqrt{2} + \sqrt{3} )}^{2} - {( \sqrt{5} - \sqrt{2} )}^{2}$

To Find:

We have to Find: Evaluate the equation

Solution:

According to the problem, we know that

${(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab \\ {(a - b)}^{2} = {a}^{2} + {b}^{2} - 2ab$

therefore, applying the equations we get,

${( \sqrt{2} + \sqrt{3} )}^{2} - {( \sqrt{5} - \sqrt{2} )}^{2} \\ { (\sqrt{2} )}^{2} + {( \sqrt{3}) }^{2} + 2 \times \sqrt{2} \times \sqrt{3} - {( \sqrt{5} )}^{2} - {( \sqrt{2}) }^{2} + 2 \times \sqrt{5} \times \sqrt{2} \\ 4 + 3 + 4.89 - 5 - 2 + 6.32 \\ 18.21 - 7 \\ = 11.21$

Final Answer: The value of the equation given is

$11.21$

#SPJ2

Answer 2

Step-by-step explanation:

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