Question

Please help me with number 4 I do not get why I got it wrong

Answer 1

Given:

`\sqrt[]{46}`

First, we will find the perfect square roots before and after the given. In this case, we have

`\sqrt[]{36}\text{ and }\sqrt[]{49}`

Which will give us 6 and 7, respectively. Now, looking at the given √46, we can see that is it much close to √49 (3 counts) than √36 (10 counts). With this, we know that the estimated value of √46 is closer to 7. A good estimate would be around 6.7 or 6.8.

Summary:

Two perfect squares before and after √46 are √36 and √49. Since √46 is much closer to √49, we could estimate √46 to be around 6.8.