Question

How can I simplify these?

Answer 1

`\large\boxed{343=7\sqrt7}\\\boxed{10√(96)=40\sqrt6}`

Explanation:

`343=7^3=7^2\cdot7\\\\√(343)=√(7^2\cdot7)\qquad\text{use}\ √(ab)=√(a)\cdot√(b)\\\\=√(7^2)\cdot\sqrt7\qquad\text{use}\ √(a^2)=a\ \text{for}\ a\geq0\\\\=7\sqrt7\\=====================\\\\96=16\cdot6\\\\10√(96)=10√(16\cdot6)=10√(16)\cdot\sqrt6=(10)(4)\sqrt6=40\sqrt6`