Question

Write 45 in the form k squareroot 5 where k is an integer

Answer 1

45=k√5
times both sides by √5
45√5=5k
divide both sides by 5
9√5=k

Answer 2

Answer:

This question is impossible.

Step-by-step explanation:

Explanation:

I got this question on a practice maths paper, and it has to be a mistake.

The previous answer posted here says that 45 = 9√5, which is clearly wrong:

We know that 45 = 9 x 5 but this person has said 45 = 9 x √5, and clearly 5 $\neq$ √5.

To add, the mark scheme of the practice paper I did said that the answer was 3√5 which is also wrong.

I think the question meant to ask "Write √45 in the form k√5 where k is an integer" in which case the answer 3√5 would be correct:

√45 = √9 x √5

√9 = 3

Therefore, √45 = 3√5

I hope this answers your question!