Answer:
The answer is √2.
Step-by-step explanation:
The operation can be expressed like:
[tex]\sqrt{5*10} - 4\sqrt{2}[/tex]
You have to multiply what's inside of the first root
[tex]\sqrt{50} -4\sqrt{2}[/tex]
Then, you have to find the factors of 50 which are 5²×2.
[tex]\sqrt{25*2} -4\sqrt{2}[/tex]
If there's a squared number inside a square root, you can take it out of the square root.
[tex]\sqrt{5^{2} *2} -4\sqrt{2}[/tex]
And now, you can subtract the square roots as the have the same radical term (2), so 5-4 = 1
[tex]5\sqrt{2} -4\sqrt{2}[/tex]
[tex]1\sqrt{2}[/tex] or [tex]\sqrt{2}[/tex]
