How to solve this problem √363−3√27
Need step by step instructions.
Thanks,
Kaai97
√363−3√27
The square root of 363 = 19.05
The square root of 27 = 5.2
3 * 5.2 = 15.6
19.05 - 15.6 = ?
2√108_√27+√363
To solve the problem √363−3√27, we need to simplify each square root expression separately and then subtract the results.
Step 1: Simplify the square root of 363.
To simplify √363, we need to find the largest perfect square that is a factor of 363. The largest perfect square that divides 363 is 121 (11 x 11).
√363 = √(11 x 11 x 3) = 11√3
Step 2: Simplify the square root of 27.
To simplify √27, we need to find the largest perfect square that is a factor of 27. The largest perfect square that divides 27 is 9 (3 x 3).
√27 = √(3 x 3 x 3) = 3√3
Step 3: Subtract the simplified results.
Now that we have simplified both square roots, we can subtract them.
11√3 - 3√3 = (11-3)√3 = 8√3
So, the solution to the problem √363−3√27 is 8√3.