Question

(Root 3+root 11) whole squared(Root 3-Root 11)whole squared

Answer 1

Answer:

the answer is 178.

Step-by-step explanation:

the identity used here is (a+b)(a-b)

Answer 2

The correct answer is 64.

Given: The equation = $(\sqrt{3} +\sqrt{11} )^{2} (\sqrt{3} -\sqrt{11} )^{2}$.

To Find: Evaluate the equation.

Solution:

$(\sqrt{3} +\sqrt{11} )^{2} (\sqrt{3} -\sqrt{11} )^{2}$

= $(3+11+2\sqrt{3} \sqrt{11} ) (3+11-2\sqrt{3} \sqrt{11} )$

= $(14+2\sqrt{3} \sqrt{11} ) (14-2\sqrt{3} \sqrt{11} )$

= $(14+2\sqrt{33} ) (14-2\sqrt{33} )$

This becomes, (a-b)(a+b) = $a^{2} -b^{2}$.

= $14^{2} -(2\sqrt{33} )^{2}$

= 196 - (4*33)

= 196 - 132

= 64

Hence, the answer is 64.

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