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10 votes
10 votes
Simplify the expression,

Assume all variables are positive.

Simplify the expression, Assume all variables are positive.-example-1
User Pangamma
by
2.3k points

1 Answer

24 votes
24 votes

Answer:


√(5)

Explanation:

using the rule of radicals


√(a) ×
√(b)
√(ab)

given

5
√(20x^4) - 3
√(45x^4)

simplify the 20 and 45 inside the radicals


√(20) =
√(4(5)) =
√(4) ×
√(5) = 2
√(5)


√(45) =
√(9(5)) =
√(9) ×
√(5) = 3
√(5)

Then

= 5(2
√(5) x² ) - 3(3
√(5) x² )

= 10
√(5) x² - 9
√(5)

= x²
√(5)

User Nabi
by
2.7k points