Number System - IX

Real number consist of

• only rational numbers

• only irrational numbers

• neither rational nor irrational number

• both rational and irrational numbers

In between two rational number there is/are

• One rational number

• Two irrational numbers

• Infinitely many rational numbers

• only irrational number exist

Tags

CCSS.HSN.RN.B.3

We can plot any real number on number line.

• True

• False

Tags

CCSS.8.NS.A.2

 $\left(a+\sqrt{b}\right)\left(a-\sqrt{b}\right)$  is equals to

•  $a-b$  

•  $a^2-b^2$  

•  $a^2-b$  

•  $a-b^2$  

On rationalisation the denominator of  $\frac{1}{2+\sqrt{3}}$  will be

• -1

• 1

• 2

• 0

Tags

CCSS.HSN.RN.A.2

1.27272727....... can be expressed in p/q form as

• 126/99

• 127/99

• 13/17

• 17/13

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Find the value of x, if $3^{\left(x-10\right)}=\ 27$  

• 3

• 13

• 17

• 7

Tags

CCSS.HSF.LE.A.4

Which of the following numbers is irrational?

• √8
• ¾
• 2
• -1.325

Tags

CCSS.8.NS.A.1

Determine if the product of  $3\sqrt{2}$  and  $8\sqrt{18}$  is rational or irrational.

• Rational 

• Irrational 

What would be the denominator after rationalizing 7/(5√3 - 5√2)?

• 19

• 20

• 25

• None of these