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Answer

↓Steps Explained:↓

Solve the following equation

2w^2=360

Solve for w:

2w² = 360

Using our radical expression calculator, we can simplify this

w² = 180

Take the square root of each side:

√w²= √180

w= = ±√180

Simplify √180

Checking square roots, we see that 13² = 169 and 14² = 196

Our answer is not an integer, so we try simplify it into the product of an integer and a radical.

We do this by listing each product combo of 180 checking for integer square root values below:

√180 = √1√180

√180 = √2√90

√180 = √3√60

√180 = √4√45

√180 = √5√36

√180 = √6√30

√180 = √9√20

√180 = √10√18

√180 = √12√15

Find the highest integer square root

The highest factor that has an integer square root is 36

Therefore, we use the product combo √180 = √36√5

Evaluating square roots, we see that √36 = 6

Final Answer