Asked by Justanothergirl
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!!
Please help!!
Answers
Answered by
Scott
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
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
Answered by
Justanothergirl
You used 4 and 6. Could you have used 12 and 2?
Answered by
Reiny
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
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
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