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Q: What is 3 root of 2 and the root of 2?

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3(3 square root of 2) = 9(square root of 2)

square root 2 times square root 3 times square root 8

root 8 = root 4 x root 2 = 2 root 2, root 18 = root 9 x root 2 = 3 root 2; 2 root 2 x 3 root 2 = 6 x 2 = 12

2 root 2

√3 x 2√3 = 2 (√3)2 = 2 x 3 = 6

5 root 2

2 times the Square root of 3 + 4

Yes. Multiply both the bottom and top by root 3. Then you have 2 root 3 over two. 2 over 2 simplifies to 1, so the final answer is the square root of 3.

2 root 3 over 2, so square root of 3

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You would go about this question by first specifying whether there are parenthesis around the square root (3/2) or if it looks like (square root 3)/2 Case A would look something like this. 1/(square root of 3/2) in this case you would multiply both the top and bottom by (square root of 3/2). The bottom portion would become (surprisingly!) 3/2. the top portion would be left as (square root of 3/2). Then, because you are dividing by a fraction, the KEEP CHANGE FLIP rule applies. (square root of 3/2) divided by 3/2 would become (square root of 3/2) multiplied by 2/3 which = 2(square root of 3/2)/3. You can then say that 2 is equal to radical 4 and multiply this by the numerator of the other radical, to get radical 12/2 which equals radical 6. Radical 6 over 3 would be the simplified answer. Case B would look something like this. 1/(square root 3)/2 In this case you would multiply both the top and the bottom by (square root of 3). You would get (square root of 3) divided by 3/2. Then KEEP CHANGE FLIP applies again, and it becomes (square root of 3) multiplied by 2/3. This would then equal 2 radical 3 over 3.

1.4142135 is the square root of 2 1.7320508 is the square root of 3 2.0000000 is the square root of 4

it would be Root 2 X Root 2 X Root 2 = equals Root 8. I believe that is what your asking....

16

No, the square root of 8 has to be between 2 and 3, closer to 3.

4

It is 2*square root of 3 or approximately 3.464101615.

Square root of 6

36

(x^2+x-1/2)= x(x+1)-1/2 [x + (1 - square root of 3)/2][x + (1 + square root of 3)/2] = 0 Check it: x^2 + x/2 + (square root of 3)x)/2 + x/2 + 1/4 + (square root of 3)/4 - (square root of 3)x/2 - (square root of 3)/4 - 3/4 = 0 x^2 + x/2 + x/2 + [(square root of 3)x]/2 - [(square root of 3)x]/2 + (square root of 3)/4 - (square root of 3)/4 + 1/4 - 3/4 = 0 x^2 + x - 2/4 = 0 x^2 + x - 1/2 = 0 How to find this roots: Using the completing the square method: x^2 + x - 1/2 = 0 x^2 + x = 1/2 x^2 + x + 1/4 = 1/2 + 1/4 (x + 1/2)^2 = 3/4 x + 1/2 = (plus & minus)(square root of 3/4) x = -1/2 + (square root of 3)/2 x = - 1/2 - (square root of 3)/2

No, it is not. Root 12 = root 4 * root 3, which is the same as 2*root 3. And you should already know than root 3 is irrational.

The cube root of 2 is 1.2599210498948732 (rounded).The cube root of 3 is 1.4422495703074083 (rounded).

The square roots of 2 and 3 are irrational but not transcendent.

It is: (3*2)-(2*2) = 2

A radical is considered to be in simplest terms when:There is no fraction under the radical sign. For example, root(2/3) should be converted to root(2) / root(3) - and then, the other rules should be applied. There is no radical in a denominator. In the above example, you continue multiplying numerator and denominator by root(3), so you obtain root(6) / 3.No perfect square appears as a factor under a radical sign. For example, root(12) should be changed to root(4 x 3) = root(4) x root(3) = 2 root(3).A radical is considered to be in simplest terms when:There is no fraction under the radical sign. For example, root(2/3) should be converted to root(2) / root(3) - and then, the other rules should be applied.There is no radical in a denominator. In the above example, you continue multiplying numerator and denominator by root(3), so you obtain root(6) / 3.No perfect square appears as a factor under a radical sign. For example, root(12) should be changed to root(4 x 3) = root(4) x root(3) = 2 root(3).A radical is considered to be in simplest terms when:There is no fraction under the radical sign. For example, root(2/3) should be converted to root(2) / root(3) - and then, the other rules should be applied.There is no radical in a denominator. In the above example, you continue multiplying numerator and denominator by root(3), so you obtain root(6) / 3.No perfect square appears as a factor under a radical sign. For example, root(12) should be changed to root(4 x 3) = root(4) x root(3) = 2 root(3).A radical is considered to be in simplest terms when:There is no fraction under the radical sign. For example, root(2/3) should be converted to root(2) / root(3) - and then, the other rules should be applied.There is no radical in a denominator. In the above example, you continue multiplying numerator and denominator by root(3), so you obtain root(6) / 3.No perfect square appears as a factor under a radical sign. For example, root(12) should be changed to root(4 x 3) = root(4) x root(3) = 2 root(3).