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What is a principal square root?
The principal square root is the non-negative square root.
Simplify square root of 5 Times Square root of 6?
To simplify the square root of 5 times the square root of 6, you can multiply the two square roots together. This gives you the square root of (5*6), which simplifies to the square root of 30. Therefore, the simplified answer is the square root of 30.
What is the Estimate the square root of 184 by finding the consecutive whole numbers it lies between?
132 = 169 < 184 < 196 = 142 So 13 < √184 < 14 So estimating from consecutive whole numbers would give the answer "13 and a bit". But you can do better than that by interpolating. The square-root function is, obviously, not linear but you will not go too far wrong between consecutive integers (unless you are dealing with very small number). 184 is (184-169)/(196-169) = 15/27 of the distance between 132 and 142 so the square root is approx 15/27 = 5/9 of the way from 13 to 14 ie 13+5/9 = 13.555... recurring. In fact, the correct value is approx 13.5647 so the estimate is accurate to 2 decimal places.
Can the square root of x be added to the square root of 3x?
No. The Square root of x is not the value of x. So it can not be simplified beyond: Root X + root 3x Yes. The square root of 3x equals the square root of 3 times the square root of x, so when you add another square root of x, you can factor out the square root of x, thereby simplifying the expression to the square root of x times the sum of one plus the square root of three.
Multiply square root 3 by square root 2?
square root 6
