Question

simplify the expression​

Answer 1

EXPLANATION.

⇒ (√5 + √2)².

As we know that,

Formula of :

⇒ (a + b)² = a² + b² + 2ab.

Using this formula in the equation, we get.

⇒ (√5)² + (√2)² + 2(√5)(√2).

⇒ 5 + 2 + 2(√10).

⇒ 7 + 2√10.

                                                                                                                         

MORE INFORMATION.

(1) = (x + y)² = x² + y² + 2xy.

(2) = (x - y)² = x² + y² - 2xy.

(3) = (x² - y²) = (x - y)(x + y).

(4) = (x² + y²) = (x + y)² - 2xy.

(5) = (x³ + y³) = (x + y)(x² - xy + y²).

(6) = (x³ - y³) = (x - y)(x² + xy + y²).

(7) = (x + y)³ = x³ + 3x²y + 3xy² + y³.

(8) = (x - y)³ = x³ - 3x²y + 3xy² - y³.

Answer 2

Question-

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

Answer-

$7+2\sqrt{10}$

Explanation-

Use the identity → $(a + b)^2=a^2 + b^2 + 2ab$

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

$=\sqrt{5^2} +\sqrt{2^2}+2\times\sqrt{5} \times\sqrt{2}$

$=5+2+2\sqrt{10}$

$=7+2\sqrt{10}$

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