In the following, simplify using absolute value signs as needed. \frac{2+\sqrt{40}}{2}

guringpw

guringpw

Answered question

2021-12-06

In the following, simplify using absolute value signs as needed.
2+402

Answer & Explanation

Hattie Schaeffer

Hattie Schaeffer

Beginner2021-12-07Added 37 answers

Given information: An expression is given as 2+402.
Calculations: We have been given an expression is 2+402.
To simplify the radical expressions by using absolute value as needed, we must know about the radical properties and the index value of root is even or odd as shown below:
We know that, (ab)m=ambm and the corresponding product property of radical expression is n{ab}=n{a}n{b}.
2+402 [Simplify the square root of 40 with radical properties]
2+4102 [Rewrite 40=4*10]
2+4102 [By using radical property n{ab}=n{a}n{b}]
2+2102 [Product the two radicals i.e 2 and 10]
Undefined control sequence \cancel [Remove the common factor from the numerator and denominator]
(1+10) [Simplify]
Hence, the simplification of 2+402 is (1+10).

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