SQUARE AND SQUARE ROOTS MIZO TAWNGA HRILHFIAHNA. BY: ELISA HAUHENG

      TOPIC:  SQUARE AND SQUARE ROOTS 


Q.What Are Squares and Square Roots/ Eng nge Square leh Square root chu?

Ans:  Number eng pawh lo ngaihtuah ta ila, chu number kan ngaihtuah chu a mah tho number nena kan puntir (multiply) hian a square kan ti thin.

Entirnan:  3 square chu 3x3= 9 ani. 
Ziah dan hi mathematics ah chuan kan nei ve deuh bik a Hetiang hian.
                          [  ]
Where; 
a= Any number.
                                                                                      

✍️Square root: 
Square root kan tih ve thung hi chu tlem in a dang ve deuh va.Kan sawi tak ang hian 3 square chu 9 ani kan ti a, chuti anih chuan Square root of 9 chu 3 a lo ni ve thung ang.
                Mathematically chuan square Root hi tiang hian kan ziak thin.
        [ √ = 1/2 ]

Q. Engvangin nge 9 square root chu 3 anih 🤔?

Chhanna:  9 hi 3 square ani kan tih tawh kha chu ti ani chuan tiang hian kan ziak thei ang.
  9= 3 x 3 = 3²
A square root han la dawn ila 

√9= (9)½= (3²)½ ______________(1)

A power bik hi kan en chuan 
2x 1/2 ani a 2 leh 2 kan cancel thei a power 1 ani tawh dawn tih na anih chu.

Equation (1) chu tiang hian a lo awm tawh ang.

√9 = (3)¹= 3.
Hemi avang hian 9 square root chu 3 a lo ni ta ani.


Q.Perfect Square and tih fo hi eng nge ?/
What Are Perfect Squares?🤔

Ans:  Perfect square kan tih chu  number engpawh lo ngaihtuah ta ila .Chu kan number ngaihtuah chu a square kan lak khan fraction emaw decimal a chhuah loh chuan perfect Square and ni.
Entirnan: 

    1²= 1,,,,,,,,,,,,,,,,,,,n²= a

Where
 a = any number does not involve fraction or decimal.


 Square Root zawn dang method hrang hrang te.

                  Heng kan swi loh pawh hi zawn dan a awm tho a, mahse heng hi kan hmang tlang lawn leh awlsam dan zawk anih avangin kan thlur bing deuh bik dawn ani.Chungte chu;

1.Repeated Subtraction Method

2.Prime Factorization Method( hei chu kan sawi tawh avangin kan sawi nawn tawh lo ang.)

3.Long Division Method


1.Repeated Subtraction Method:

       He method hmang hian number square roots chu awlsam te in kan zawng thei ani.

Step 1: Number i duh ber zero tih loh lo ngaihtuah ta la chu Kan number ngaihtuah chu  odd number indawt dan in peih( Subtract) leh la Zero a chhuah hma chu a odd number kan peih na hmasa zawk ami dawt chiah  nen khan subtract zel rawh.
Eg: 4 hi a square root number  lo hre duh ta ila.
4-1= 3
3-3= 0.


Step 2: Chuti chuan kan number subtract na atanga chhiar a zero achhuah na thleng a odd number indawt dan a kan pei zat kha i chhiar ang a chu mi zat chu kan number ngaihtuah square root number chu a lo ni zel mai dawn ani.

    Step 1 ah hian 4 ka thlang ta a zero a chhuah hma thleng a odd number ka subtract zat hi 2 ani a chu vang chuan √4 = 2 kan ti thei ani.
_________________________________________________

Long Division Method bik hi chu Details in ziah a theih ve loh avangin.Ka lo sawi thei dawn lova..Internet a chiang zawkin a duh chuan in en mai dawn nia.

Mathematical Symbol a hman theih si lo a buaithlak 😆.

          Practice Questions for MPSC, UPSC,SSC, Banking and Other Competitive exam:

1. Find the square root of 144.(Ans: 12)
2.Find the square root of 705 (ans: 84)

3.Find the least number by which 1800 must be multiplied to make it a perfect square.(Ans 2)


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