To calculate the simplified value of the radical expression: \sqrt{20x^{3}}+\sqrt{45x^{3}}

djeljenike

djeljenike

Answered question

2021-08-08

To calculate: The simplified value of the radical expression 20x3+45x3

Answer & Explanation

Sadie Eaton

Sadie Eaton

Skilled2021-08-09Added 104 answers

Step 1
Formula used:
The product rule for radicals,
abn=anbn
Here, n is the positive integer and a and b are real number.
The relation between radical and rational exponent notation is expressed as,
an=a1/n
Here, a is the radicand, and n is the index of the radical.
Step 2
Use the product rule for radicals to simplify the expression,
20x3+45x3=54 x2 x+95 x2 x
=5x4x2+95xx2
=5x22x2+325xx2
Use the relation between radical and rational exponent notation to simplify the expression,
20x3+45x3=5x(22)12(x2)12+(32)125x(x2)12
=5x2 x+35x x
=5x5x
Hence, the simplified value of the provided expression is 5x5x

Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-29Added 2605 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?