Question

(5√2+3√3)-(6√2+7√3)=a√2+b√3. find values of a and b

Answer 1

$\huge\red{Answer\: is}$

$(5 \sqrt{2} + 3 \sqrt{3} ) - (6 \sqrt{2} + 7 \sqrt{3} ) \\ = 5 \sqrt{2} - 6 \sqrt{2} + 3 \sqrt{3} - 7 \sqrt{3} \\ = \sqrt{2} (5 - 6) + \sqrt{3} (3 - 7) \\ = - \sqrt{2} - 4 \sqrt{3} \\ = a \sqrt{2} + b \sqrt{3} \\ on \: comparing \: we \: get \\ a \: = - 1 \: \: and \: \: b = - 4$
Hope it helps you

Answer 2

Answer:

here is your answer

Step-by-step explanation:

•5√2+3√3-6√2+7√3

Now by taking similar terms together we get as follows

•5√2-6√2+3√3-7√3

•√2(5-6)+√3(3-7)

•-√2-4√3

•a√2+b√3

therefore on comparing we get

a=-1 and b=-4