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square root 2 times square root 3 times square root 8
Lets see here. I will try to make this as easy as possible. I'll use [###] to represent the radical; ### being the number under the radical 544 is divisible by 4 so let's do that first. 544/4=136 so under the radical we have [136*4] Now 4 is a perfect square number so let's pull that out [136]*[4] = 2[136]. Let's do it again because 136 is divisible by 4. 136/4=4. 2[34*4] now pull the 4 out again and we get 4[34]. Now 34 is not divisible by a perfect square so the final answer is 4*[34] (4 times the square root of 34)
The square root of 15 times the square root of 5 can be simplified as the square root of (15 * 5), which equals the square root of 75. The square root of 75 can be further simplified as 5 times the square root of 3. Therefore, the square root of 15 times the square root of 5 is equivalent to 5 times the square root of 3.