Question

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

Answer 1

Answer: (D) 7a⁴

Step-by-step explanation:

    $\sqrt{49a^8}$

$=\sqrt{49} \ \cdot \sqrt{a^8}$

$=\sqrt{7\cdot 7} \ \cdot \sqrt{a\cdot a\cdot a\cdot a\cdot a\cdot a\cdot a\cdot a}$

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