Question

Please help on how to get last few marks

Answer 1

Answer:

K = 12

Step-by-step explanation:

10 Cos 30° – 3 Tan 60°

The above expression can be simplified as follow:

10 Cos 30° – 3 Tan 60°

Recall:

Cos 30° = √3/2

Tan 60° = √3

Therefore,

10 Cos 30° – 3 Tan 60°

10 (√3/2) – 3(√3)

5√3 – 3√3

(5 – 3) √3

2√3

To write the above expression 2√3 in the form √K, we simply do the following:

2√3

Find a number, such that the square root of the number will result to 2. The number is 4 as shown below

√4 = 2

Next, replace 2 with √4 in the expression above

2√3

= √4 × √3

= √(4 × 3)

= √12

Therefore,

2√3 = √12

Comparing √12 with √K,

√12 = √K

K = 12