Root2+root3+root4+root6
(√2+1)(√2+√3)
root15
2+root11
To simplify the expression, Root2 + Root3 + Root4 + Root6, we can start by simplifying each square root individually.
1. Square root of 2 (Root2): The square root of 2 cannot be simplified further, so Root2 remains as it is.
2. Square root of 3 (Root3): The square root of 3 also cannot be simplified further.
3. Square root of 4 (Root4): The square root of 4 is 2, since 2 squared is equal to 4.
4. Square root of 6 (Root6): The square root of 6 cannot be simplified further.
Now, let's substitute the simplified square roots back into the original expression.
Root2 + Root3 + Root4 + Root6 becomes:
Root2 + Root3 + 2 + Root6
Since none of the square roots have any common factors, there isn't a simpler way to express this expression. Thus, the simplified form is:
Root2 + Root3 + 2 + Root6.
To calculate the value of the expression √2 + √3 + √4 + √6, we need to find the square roots of the given numbers first.
√2 ≈ 1.414
√3 ≈ 1.732
√4 = 2
√6 ≈ 2.449
Now, we sum up these values:
1.414 + 1.732 + 2 + 2.449 = 7.595
Therefore, the approximate value of √2 + √3 + √4 + √6 is approximately 7.595.