Answer:
216
Step-by-step explanation:
1. √{6^6}
2. √(6^3)^2}
3.6^3
4.216
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The value of the given expression is 216.
The given expression is,
[tex]\sqrt{2\cdot 6^5 + 2\cdot 6^5 + 2\cdot 6^5[/tex]
Square Root Computations:
The square root of a number is the number that we require to multiply by itself to obtain the original number
Now, solving the given expression as,
[tex]\sqrt{2\cdot 6^5 + 2\cdot 6^5 + 2\cdot 6^5}=\sqrt{2\cdot6\cdot6^4+2\cdot6\cdot6^4+2\cdot6\cdot^4}\\ =6^2\sqrt{12+12+12}\\ =36\sqrt{36}\\ =36\sqrt{4\cdot9}\\ =36\cdot2\cdot3\\=216[/tex]
Learn More information about the simplification:
https://brainly.com/question/1367802
