5 sqrt(18)+4 sqrt(32)

Question

anonymous · Answer

5√18+4√32

anonymous · Answer

which is 31sqrt2

anonymous · Answer

yea i checked it on wolfram alpha but wen i did it i ended up with 23 sqrt2

anonymous · Answer

i hoping for a step by step guide or som tyoe of aid

anonymous · Answer

√18 can be written as √(9*2). The √ is distributive over multiplication, so √(9*2) = √9 * √2 = 3√2.

Same thing with √32:

√32 = √(16*2) = √(8*2*2) = √(4*4*2) = √4√4√2 = 2 * 2 √2 = 4√2.

So, 5√18 + 4√32 = 5 (3√2) + 4 (4√2)

                            = 15√2 + 16√2
                        
                            = 31√2

anonymous · Answer

Oops, the quicker way to simplify √32 would be recognize the √16 is 4 immediately.

I overlooked that and decided to simplify it further into 2's haha.

anonymous · Answer

thank you for ur help it was very helpful