square roots?

Question

Ok I just wanted to double check my answer.
The problem is 3 square roots of 25...but since 25 is a perfect square do I add 5 (square root of 25) to 3 or do I multiply it by the 3? Because I multiplied it and got an answer of 15 but I wanted to ask you guys. Thanks

Answer 1

PEMDAS

Always solve the exponent (square roots are exponents, raised to the 1/2 power) first. Then apply multiplication. So you did it correctly.

3*SQRT(25)
3*5
15

Answer 2

Ok I just wanted to double check my answer.
The problem is 3 square roots of 25...but since 25 is a perfect square do I add 5 (square root of 25) to 3 or do I multiply it by the 3? Because I multiplied it and got an answer of 15 but I wanted to ask you guys. Thanks

3√25=(3)(±5)= ±15... You got it... well most of it. When you take a square root, the answer can be either positive or negative.
And thanks for doing the work rather than just posting the problem. Worthy of a star.

Answer 3

I would disagree with you guillamo
√25 = 5.
a number has two square roots, the poistive square root of 25 is denoted as √25 = 5and the negative is -√25 = -5.

If you look at a graph of √x, you will see that it only has the positive branch. Am I missing something?

The answer is 15.
I wonder if the question is originally in words or using the radical symbol.

Answer 4

3 sqrt(25) = 3*5 = 15.
'3 times the square root of 25' is the usual way of expressing it, rather than '3 square roots of 25'.

Answer 5

multiply it... treat it as 3*sqrt(25) = 3*5= 15
A 'star' (*) for u...

Answer 6

3*(5)=15
3*(-5)= -15
Yes , you are correct.