1.

Simplify. (4-√2)(2+√3)

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Answer:

According to given question

(4-\sqrt{2}) (2+\sqrt{3})\\

Now take 4 and -\sqrt{2} outside or you can take 2 and \sqrt{3}

First we SOLVE with 4 and -\sqrt{2}

4(2+\sqrt{3})  as the symbol is NEGATIVE  -\sqrt{2} (2+\sqrt{3})

so over here you can multiply the NUMBERS

(4*2 + 4 *\sqrt{3} ) (--\sqrt{2} * 2 - \sqrt{2} * \sqrt{3} )

So over here after multiplying the answer

(8 + 4\sqrt{3} ) (-2\sqrt{2} - \sqrt{6} )

so removing the brackets you will get the answer as

8+4\sqrt{3}-2\sqrt{2}-\sqrt{6}

Now we are solving with 2 and \sqrt{3}

2(4-\sqrt{2}) +\sqrt{3} (4-\sqrt{2})\\

so over you can multiply the numbers

(2*4-2*\sqrt{2} ) (4*\sqrt{3}-\sqrt{2}*\sqrt{3)}

So over here after multiplying the answer

8+4\sqrt{3}-2\sqrt{2}-\sqrt{6}

So however you do the answer is  same

The final answer is 8+4\sqrt{3}-2\sqrt{2}-\sqrt{6}


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