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(4+sqrt3)(4-sqrt3)

$9$ . $(4+\sqrt{3})(4-\sqrt{3})$

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Multiply radical expressions

Full solution

Q.

9

.

(4+\sqrt{3})(4-\sqrt{3})

Apply difference of squares formula: We're using the difference of squares formula, which is $(a+b)(a-b) = a^2 - b^2$ . $\newline$ So, let's plug in our numbers: $(4)^2 - (\sqrt{3})^2$ .
Calculate squares: Now, calculate the squares: $4^2 = 16$ and $(\sqrt{3})^2 = 3$ .
Subtract values: Subtract the two values: $16 - 3$ .
Final result: The result is $13$ .

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