Question

multiply (3√5-√3)(5√3-√5)​

Answer 1

rs
Answer: (3-√5) (3+√5) {by using identity (a+b)(a-b) =a²-b²}. =(3)²-(√5)². = 9-5. = 4

Answer 2

Given,

$\[\left( {3\sqrt 5 - \sqrt 3 } \right)\left( {5\sqrt 3 - \sqrt 5 } \right)\]$

Solution,

$\[\begin{array}{l} = \left( {3\sqrt 5 - \sqrt 3 } \right)\left( {5\sqrt 3 - \sqrt 5 } \right)\\ = 3\sqrt 5 \times 5\sqrt 3 - 3\sqrt 5 \times \sqrt 5 - \sqrt 3 \times 5\sqrt 3 + \sqrt 3 \times \sqrt 5 \\ = 15\sqrt 5 \times \sqrt 3 - 3 \times 5 - 3 \times 5 + \sqrt 3 \times \sqrt 5 \\ = 16\sqrt 5 \times \sqrt 3 - 30\\ = 16\sqrt {15} - 30\end{array}\]$

Hence the value of multiplication is $\[16\sqrt {15} - 30\]$