Solve the following:
1a) square root of 45 (extra information)
How i solved this is by first looking at the the square roots closest to the number 45. The one before it is 36 (6*6) while the one over it is 47 (7*7) When i finish this step i had to see which one 45 was closer to in this case its a no brainer. From 45 to 47 its 2 numbers from 36 to 45 its 9. So I knew after i did this that the estimated number were looking for (the square root has to be larger then .5 because its over the half way line. So my estimate was 6.7 and then to get a little fancier (closer to 45 or atleast thats what i think) i just added a 3 so the final answer would be 6.73. Now to check your work just take,
6.73*6.73= 45.2929 which is pretty close to 45
1b) Simplify square root of 45
This may sound confusing but it's really easy to do. You find two numbers that can go into 45 but at least one has to have a square root. So it would be the square root of 9 times the square root of 5. This is when the square rooting comes in. Square root of 9=3. There is no whole number square root to 5 so we just leave it 5 making our problem 3 times the square root of 5
2) Simplify square root of 12 divided by the square root of 3
starting of you would first divide 12 with 3 which would give you 4 which in our math world is perfect because 4 has a square root which is 2. Coming to our answer fast and easy.
1a) square root of 45 (extra information)
How i solved this is by first looking at the the square roots closest to the number 45. The one before it is 36 (6*6) while the one over it is 47 (7*7) When i finish this step i had to see which one 45 was closer to in this case its a no brainer. From 45 to 47 its 2 numbers from 36 to 45 its 9. So I knew after i did this that the estimated number were looking for (the square root has to be larger then .5 because its over the half way line. So my estimate was 6.7 and then to get a little fancier (closer to 45 or atleast thats what i think) i just added a 3 so the final answer would be 6.73. Now to check your work just take,
6.73*6.73= 45.2929 which is pretty close to 45
1b) Simplify square root of 45
This may sound confusing but it's really easy to do. You find two numbers that can go into 45 but at least one has to have a square root. So it would be the square root of 9 times the square root of 5. This is when the square rooting comes in. Square root of 9=3. There is no whole number square root to 5 so we just leave it 5 making our problem 3 times the square root of 5
2) Simplify square root of 12 divided by the square root of 3
starting of you would first divide 12 with 3 which would give you 4 which in our math world is perfect because 4 has a square root which is 2. Coming to our answer fast and easy.
So the last one should actually be the 2x(the square root of 3). Well done on the others. You really seem to have a good understanding of this area of math. Keep up the good work, it will help you with more learning soon.
ReplyDelete