Question

Simplify
√49^8
A. a√24.5
B. 7a^8
C. 7√5a^8
D.7a^4

Answer 1

Answer: (D) 7a⁴

Explanation:

`√(49a^8)`

`=√(49) \ \cdot √(a^8)`

`=√(7\cdot 7) \ \cdot √(a\cdot a\cdot a\cdot a\cdot a\cdot a\cdot a\cdot a)`

Two on the inside of the radical (square root) symbol makes One on the outside. Simplify by looking for pairs.

`=\sqrt{\underline{7\cdot 7}} \ \cdot \sqrt{\underline{a\cdot a}\cdot \underline{a\cdot a}\cdot \underline{a\cdot a}\cdot \underline{a\cdot a}}`

= 7 · a · a · a · a

= 7a⁴