Question

Hi i have to do a worksheet for school. I'm not asking for the answers just how to evaluate things such as radical 13 or two radical 3?

Please help!!

Answer 1

radicals that aren't "even" roots are irrational numbers ... the decimals are infinite

if the numbers have a whole root factor, then take that out

√24 = √4 * √6 = 2√6

a calculator can give an approximate value, but the radical form is exact

Answer 2

You used 4 and 6. Could you have used 12 and 2?

Answer 3

Your number should have at least one perfect square as a factor, or else there is no advantage in separating the radical into factors
e.g. √24 = √4*√6 = 2√6
√24 = √2*√12 ----> not simplified
√24 = √3*√8
= √3*√4*√2
= 2*√3*√2 = 2√6 ----> long way to get my first answer

√72 = √9*√4*√2 = 3*2*√2 = 6√2
or
√72 = √36*√2 = 6√2
going for the highest perfect square yields the final result faster