Question

simplify. assume ( k ) is greater than or equ (sqrt{45k})

Explanation:

Step1: Factor 45 into square and remainder

$45 = 9 \times 5$

Step2: Rewrite the square root

$\sqrt{45k} = \sqrt{9 \times 5k}$

Step3: Split the square root

$\sqrt{9} \times \sqrt{5k}$

Step4: Simplify $\sqrt{9}$

$\sqrt{9} = 3$

Step5: Combine terms

$3\sqrt{5k}$

Answer:

$3\sqrt{5k}$