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Offering 100 points for help with this one.

Offering 100 points for help with this one.-example-1

2 Answers

4 votes

Answer:

5
√(5x)

Explanation:


√(320x) = 8
√(5)
√(x)


√(45x) = 3
√(5)
√(x)

and then just subtract them

User Ronnyfm
by
7.7k points
3 votes

Answer:


5√(5x)

Explanation:

Given expression:


√(320x)-√(45x)

Rewrite 320 as 64 · 5 and rewrite 45 as 9 · 5:


\implies √(64 \cdot 5 \cdot x)-√(9 \cdot 5 \cdot x)


\textsf{Apply the radical rule} \quad √(ab)=√(a)√(b):


\implies √(64) √(5x)-√(9) √(5x)

Rewrite 64 as 8² and 9 as 3²:


\implies √(8^2) √(5x)-√(3^2) √(5x)


\textsf{Apply the radical rule} \quad √(a^2)=a, \quad a \geq 0:


\implies 8√(5x)-3√(5x)

Factor out the common term
√(5x):


\implies (8-3)√(5x)

Subtract the numbers:


\implies 5√(5x)

User Jon Tackabury
by
7.2k points

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