Question

Which of the following is the difference \(\sqrt{3}-5 \sqrt{9} ?\) $$\begin{aligned} &\begin{array}{llll} \text { A) } \sqrt{3}-3 & \text { (B) } \sqrt{3}-15 & \text { (C) }-4 \sqrt{3} \end{array}\\\ &\text { (D) } \sqrt{3}-45 \end{aligned}$$

Short answer

(B) \(\sqrt{3}-15\)

Step-by-step solution

Perform the square root operation on 9

Calculate the square root of 9. The square root of 9 is 3: \( \sqrt{9} = 3 \)

Multiply the result with 5

Now, you perform the operation \(5 * \sqrt{9}\). This is equal to \(5 * 3 = 15\).

Subtract the results

Subtract the above result from \(\sqrt{3}\). This gives \(\sqrt{3} - 15\).