Question

Simplify

√49a^8

Please don’t guess

Answer 1

7a^4 is correct.

Explanation:

Answer 2

`\large\boxed{√(49a^8)=7a^4}`

Explanation:

`√(49a^8)\\\\\text{use}\ √(ab)=√(a)\cdot√(b)\\\\=√(49)\cdot√(a^8)=7√(a^8)\\\\\text{use}\ (a^n)^m=a^(nm)\\\\=7\sqrt{a^(4\cdot2)}=7√((a^4)^2)\\\\\text{use}\ √(a^2)=a\\\\=7a^4`