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Square root of 75 plus square root of 3

User ITO Yosei
by
6.1k points

2 Answers

6 votes
Your answer is: 10.3923048
User JeredM
by
6.3k points
1 vote
Answer:
6√3

Step-by-step explanation:
Before we begin, remember the following:

√(a*b) = √(a) * √(b)

m √(a) + n √(a) = (m+n) √(a)

Now, for the given:
75 can be written as 25*3
This means that:

√(75) = √(25*3)
Applying the above concept, we can find that:

√(75) = √(25*3) = √(25) * √(3)
Now, we know that:
√25 = 5 (we ignored the negative value)

This means that:
√75 = 5√3

Finally, we can compute the needed sum as follows:
√75 + √3 = 5√3 + √3 = 6√3

Hope this helps :)

User TallGuy
by
5.9k points