Question

simplify:

1. $sqrt3{-27}$
2. $-sqrt{25}$
3. $sqrt{8}$

Explanation:

Step1: Simplify $\sqrt[3]{-27}$

We know that $(-3)^3 = -27$, so the cube root of -27 is -3. So $\sqrt[3]{-27} = -3$.

Step2: Simplify $-\sqrt{25}$

We know that $\sqrt{25} = 5$ (since $5^2 = 25$), so $-\sqrt{25} = - 5$.

Step3: Simplify $\sqrt{8}$

We can factor 8 as $4\times2$, and $\sqrt{4\times2}=\sqrt{4}\times\sqrt{2}=2\sqrt{2}$. So $\sqrt{8} = 2\sqrt{2}$.

Answer:

1. $\boldsymbol{-3}$; 2. $\boldsymbol{-5}$; 3. $\boldsymbol{2\sqrt{2}}$