Question

Simplify

i will give u 15 points instead of 10

Answer 1

Hello,

First of all , let's see that

`4=2^2\leq 5\leq 9=3^2\\\\2\leq √(5)\leq 3\\ \\\text{so } (1-√(5))\leq 0\\ \\\\\text{Then } \sqrt{(1-√(5))^2}=|1-√(5)|=√(5)-1`

So,

`\sqrt{6(1-√(5))^2}=√(6)(√(5)-1)=√(30)-√(6)`

Thanks