To simplify the expression \sqrt{45x}+\sqrt{20x}.

deliredejoker7m

deliredejoker7m

Answered question

2021-11-08

To simplify the expression 45x+20x.

Answer & Explanation

soniarus7x

soniarus7x

Beginner2021-11-09Added 17 answers

Calculation:
When two similar irrational numbers are added or subtracted, the rational parts of the two numbers are added or subtracted.
This can ve written as:
45x+20x=3×3×5×x+2×2×5×x
45x+20x=32×5x+22×5x
45x+20x=325x+225x (Since the product rule for square root states that ab=ab
45x+20x=35x+25x (Since square and square root are opposite operations, they cancel out)
45x+20x=(3+2)5x
54x+20x=55x.

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