Question

simplify.
\sqrt{300} - \sqrt{27}
a \\ 10 - 3\sqrt{3}
b \\ 7 - \sqrt{3}
c \\ 7\sqrt{3}
d \\ 10\sqrt{3}

Explanation:

Step1: Simplify $\sqrt{300}$

Factor 300 into $100 \times 3$, so $\sqrt{300} = \sqrt{100 \times 3} = \sqrt{100} \times \sqrt{3} = 10\sqrt{3}$

Step2: Simplify $\sqrt{27}$

Factor 27 into $9 \times 3$, so $\sqrt{27} = \sqrt{9 \times 3} = \sqrt{9} \times \sqrt{3} = 3\sqrt{3}$

Step3: Subtract the simplified terms

Substitute the simplified radicals into the original expression: $10\sqrt{3} - 3\sqrt{3} = (10-3)\sqrt{3} = 7\sqrt{3}$

Answer:

C. $7\sqrt{3}$