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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics - 2
1.4 Radicals or Square Root - I

In
m is the index or order
is the radical or square root sign
a is the radicand

a*a = a2 and (-a)*(-a) = a2. Here 'a' is called the square root of a2. Thus for a &-a are two square roots of a2. The square root is denoted by the symbol ' '.

Examples:

  • What is the value of 25 ?
    Solution: 25 = 5*5.
    The square root of 25 is 5.

  • What is the value of 144 ?
    Solution:
    PRIME FACTORIZATION of 144 = 2 x 3 x 2 x 2 x 3 x 2
    144 = 2 x 2 x 3 = 12
    The square root of 144 is 12.

  • What is the value of 841 ?
    Solution:
    Here 841 is not divisible by 2,3,4,5,6,7,8,9, or 10
    Therefore use the GUESS METHOD to find the square root.
    The last digit is 1
    Therefore the last digits of the two numbers multiplied is either 1 or 9 since 1x1 = 1 and 9x9=81
    Therefore try
    11 x 11 =121
    21x21 = 441
    31 x 31 = 961 which is more than the number 841
    19 x 19 = 361
    29 x 29 = 841
    Therefore 841 = 29

    Directions: Find the square root of the following and show your work. Also write at least ten examples of your own.
  • Q 1: What is the value of 144?
    Answer:

    Q 2: What is the value of 676?
    Answer:

    Q 3: What is the value of 81?
    Answer:

    Q 4: What is the value of 10000?
    Answer:

    Q 5: What is the value of 324?
    Answer:

    Q 6: What is the value of 225?
    Answer:

    Q 7: What is the value of 729?
    Answer:

    Q 8: What is the value of 361?
    Answer:

    Question 9: This question is available to subscribers only!

    Question 10: This question is available to subscribers only!


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