Question

How do you simplify 5 plus the square root of 3 squared?20%7B%7D%5E%7B2%7D%20" id="TexFormula1" title="(5 + \sqrt{3}) {}^{2} " alt="(5 + \sqrt{3}) {}^{2} " align="absmiddle" class="latex-formula">
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Answer 1

Use identity -

(a+b)² = a²+b²+2ab

(5+√3)² = 5²+(√3)² + 2(5)(√3)

= 25 + 3 + 10√3

= 28 + 10√3

= 2(14+ 5√3)

Answer 2

Answer:

28 +  10√3

Step-by-step explanation:

(5 + √3)^2

Applying perfect square : (a+b)^2 = a^2 + 2ab + b^2

So in this case, it will be:

= 5^2  + 2(5)(√3)  +(√3)^2

= 25 + 10√3 + 3

= 28 +  10√3