Understanding properties of rational and irrational number

Surd is a/an ____________ number

• rational

• irrational

• odd

• even

Tags

CCSS.8.NS.A.1

When we add/subtract two irrational numbers, the result is always an irrational number.

• True

• False

When we multiply two irrational numbers, the result is always an irrational number.

• True

• False

When we add a rational number and an irrational number, the result is ...

• always a rational number

• always an irrational number

• sometimes rational, and sometimes irrational

Tags

CCSS.HSN.RN.B.3

Given the identity:

 $3+\sqrt{2}=a+b\sqrt{2}$  , 

is it always true that  $a=3\ and\ b\ =1$  ?

• Absolutely! 

• Not always true...

• Not true at all!

Tags

CCSS.HSN.RN.A.2

We rationalise surd in the denominator by multiplying its conjugate surd. What is the reason for doing so?