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 2 years ago
1. 0.817643 = rational or irrational
2. √88 rational or irrational
3. √169 rational or irrational
4. Estimate √58 to the nearest integer.
Help! Thank you!
 2 years ago
1. 0.817643 = rational or irrational 2. √88 rational or irrational 3. √169 rational or irrational 4. Estimate √58 to the nearest integer. Help! Thank you!

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hba
 2 years ago
Best ResponseYou've already chosen the best response.1Do you have an intuition about rational and irrational number ?

Yolo4mecuite
 2 years ago
Best ResponseYou've already chosen the best response.0What is that supposed to mean

hba
 2 years ago
Best ResponseYou've already chosen the best response.1What is your mother toungue ?

Yolo4mecuite
 2 years ago
Best ResponseYou've already chosen the best response.0That makes no sense

hba
 2 years ago
Best ResponseYou've already chosen the best response.1Let me rephrase it for you, Do you know what a rational and irrational number is ?

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.0any number with terminating decimals is a rational number ,but those numbers having notterminating(maybe repeating) decimals are irrational numbers.

hba
 2 years ago
Best ResponseYou've already chosen the best response.1Is pi a rational or irrational number ?

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.0i hope you understand it now :)

hba
 2 years ago
Best ResponseYou've already chosen the best response.1So, 0.817643 is rational or irrational ?

Yolo4mecuite
 2 years ago
Best ResponseYou've already chosen the best response.0Thanks anyways I got it

phi
 2 years ago
Best ResponseYou've already chosen the best response.0rational means you can write it down as a decimal. irrational means the decimals keep going, never repeating, no rhyme or reason for what the next decimal will be pi is a good example. roots (in general) are irrational unless they are roots of perfect squares. example square root of 4 is 2 but sqrt(5) is irrational. btw, same idea for cube roots, etc...

phi
 2 years ago
Best ResponseYou've already chosen the best response.0The trick part in these questions is recognizing that a number is a perfect square. 169 is 13*13, so the square root of 169 is 13, and rational

phi
 2 years ago
Best ResponseYou've already chosen the best response.088 is 2*44 or 2*2*2*11 and so sqrt(88)= sqrt(2*2*2*11)= sqrt(2*2)*sqrt(2*11)= 2sqrt(22) and sqrt(22) is irrational, and 2 times an irrational is still irrational.

phi
 2 years ago
Best ResponseYou've already chosen the best response.04. Estimate √58 to the nearest integer. Are you allowed a calculator? Or did they give you a way to do this problem?

phi
 2 years ago
Best ResponseYou've already chosen the best response.0find the square root, and round to the nearest whole number. to round, look at the digit in the tenths place (next to the decimal point) if 4 or less, drop the decimals and that is the answer if 5 or bigger, drop the decimals, but ADD 1 to the answer example: 100.3 to the nearest integer is 100 (3 is 4 or less, so drop the decimals) 210.50013 to the nearest integer is 210+1 (because 5 is 5 or bigger) you get 211

Yolo4mecuite
 2 years ago
Best ResponseYou've already chosen the best response.0Alrighty thank you

phi
 2 years ago
Best ResponseYou've already chosen the best response.0if you are not allowed a calculator, write down the squares near 58 7*7 is 49 58 is between them 8*8 is 64 58 is 9 away from 49 and 6 away from 64. so 58 is closer to 64 than it is to 49 that is a clue that sqrt(58) is closer to 8 than to 7
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