Question

Simplify.(5+squartrt3)225 + sqrtrt1010 + 28sqrtrt328 + 10sqrtrt3

Answer 1

The given expression is,

`(5+\sqrt[]{3})^2`

We have the algebraic expansion,

`(a+b)^2=a+2ab+b^2`

Therefore we have,

`\begin{gathered} (5+\sqrt[]{3})^2=5^2+(2*\sqrt[]{3}*5)+(\sqrt[]{3})^2 \\ \text{ =25+10}\sqrt[]{3}+3=28+10\sqrt[]{3} \end{gathered}`

Thus, the correct option is 28 + 10sqrt3.