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# What is the rational number between root2 and root3?

Updated: 4/28/2022

Wiki User

6y ago

Write three rational numbers between root2 root3 ?

Wiki User

6y ago

Wiki User

9y ago

There are infinitely many rational numbers bewteen any two numbers. 1.5 is one example.

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Q: What is the rational number between root2 and root3?
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### How do you prove that root 2 root 3 is an irrational number?

It is known that the square root of an integer is either an integer or irrational. If we square root2 root3 we get 6. The square root of 6 is irrational. Therefore, root2 root3 is irrational.

### Why are root2 root3 irrational numbers?

Because they cannot be expressed as ratios of integers.

### Is the difference of root2 and root3 irrational?

Yes, irrational. Let p = root 2 and q = root 3. Then (q - p)2 = 5 - 2root6, which is irrational because it is the sum of an integer (5) and an irrational (2root6), and so q - p (which is root3 - root2) is irrational.

2-root3 = -1

### What is value of Root3 in math?

The value of root3 in math is 1.732

### How do you rationalise 1 over root 2 plus root 3 plus root 5?

It is simple. Take conjugate 2 times. first treat root 2 and root 3 as a single term and do calculations. answer is (6*root2+4*root3-2*root30)/24

a/root3

### The ratio between the lengths of the two legs of a 30-60-90 triangle?

1:2:root3 (where 2 is the hypotenuse.)

root3/4a2

### Square root of 27 plus 2 times 3 square rooted?

5 Square root 3. square root 27 = square root 9*3 = 3square root 3 3square root3 + 2square root3 = 5Square Root3 because both have a square root 3.

### What is 4 plus root3?

4 plus sqrt(3) = approx 5.73205

1:root3:2