How do you work this out in maths?

[MoSalahsBeard]

My son is stuck on question 1…

This might help.

www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:radicals/v/understanding-square-roots

Here’s the method to the first ones

Here’s the method of the top corner of the second one

The square root of 16 is + or - 4 (sorry don’t know where the plus or minus key on my phone is )

The example with square roots are surds which are able to be multiplied without changing, so as someone said you can multiple together to get square root 16. Then what multiplied by itself give you 16. Yes 4.

Thank you! But then how do you work out the others?

these ones are nice and easy

Thank u!

Middle number …

So top row middle number is 3/8

Square root of 32.

You change it to square root of 2x16
Then the square root of 16 is 4
Then answer us 4√2.

They don't want the actual decimal answer. You always work it down to roots of 2 or 3 in these types of questions

@MoSalahsBeard have you been told to also complete the header row on the table? look for the common denominator for each sum then it is easy as in 1/5 + 1/3. common denominator is 15 so sum becomes 3/15+5/15=8/15

So the top row and the side row are the first place to fill in. They need to work out the equations so for the 1st one your son would work out how 1/2 becomes 3/4 and that would be by adding 1/4 so he would put that at the top. He'd then work out the bottom one as 1/5 + 1/4 but he would need to put them into an equation where they are able to be added.

Middle column

I assume he can add and subtract fractions

You have to work out 1/3+1/8 , common denominator is 3x8 so it becomes 8/24+3/24

Well clearly he can't if his mum is posting here! And neither of them are going to learn given everyone has given them the answers.

I assumed that the grid format was confusing them

For the grid, the sum he needs to do is addition. There's a plus in the top left square. He needs to add the fractions in the left hand column to the ones in the top row, and put the answers in the relevant square. Where there isn't a fraction in the top row he needs to minus the one in the left column from the answer in the relevant square.

Look at the yellow circled squares. 1/3 plus 1/2 is 5/6. Because 1/2 = 3/6.