Concept:
We can find x\sqrt{x}x​ using the factorisation method.
Calculation:
[(10+25)(12−49)\sqrt{[(10 + \sqrt{25})(12 - \sqrt{49})}[(10+25​)(12−49​)​
⇒(10+5)(12−7)\Rightarrow \sqrt{(10 + 5)(12 - 7)}⇒(10+5)(12−7)​
⇒(15×5)\Rightarrow \sqrt{(15 \times 5)}⇒(15×5)​
⇒(3×5×5)\Rightarrow \sqrt{(3 \times 5 \times 5)}⇒(3×5×5)​
⇒53\Rightarrow 5\sqrt{3}⇒53​