Simplify the radical expression: sqrt (9a3) + sqrt (a): I applied property #1, which separates the first term out into perfect squares: 3a (sqrt)a + (sqrt)a. The answer key says (3a+1)(sqrt)a, but I'm unsure of where the "+1" comes from, and why the (sqrt)a is not squared and then caneled out by the radical sign into just "a." Is the (sqrt)a in the answer a combination of like terms "(sqrt)a" from what was remaining after the first term was split into perfect squares, combined with the second term's (sqrt)a?
Power Operation
Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus.
Exponents
The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.
Simplify the radical expression:
sqrt (9a3) + sqrt (a):
I applied property #1, which separates the first term out into perfect squares:
3a (sqrt)a + (sqrt)a. The answer key says (3a+1)(sqrt)a, but I'm unsure of where the "+1" comes from, and why the (sqrt)a is not squared and then caneled out by the radical sign into just "a." Is the (sqrt)a in the answer a combination of like terms "(sqrt)a" from what was remaining after the first term was split into perfect squares, combined with the second term's (sqrt)a?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
