Maths-
General
Easy

Question

Evaluate a) square root of 4356 over 1156 end root

hintHint:

By prime Factorize the given  number and we  simplify the given problem

The correct answer is: 33/17


    a)33/17  b)1/10  c)36
    Explanation :-
    a)Let's find the prime factorization of the  number.
    4356 = 2×2178 =2×2×1089 =2×2×3×363 =2×2×3×3×121 =2×2×3×3×11×11.
    1156 =2×578 =2×2×289 =2×2×17×17
    We get square root of 4356 over 1156 end root equals square root of fraction numerator 2 cross times 2 cross times 3 cross times 3 cross times 11 cross times 11 over denominator 2 cross times 2 cross times 17 cross times 17 end fraction end root equals square root of fraction numerator 3 cross times 3 cross times 11 cross times 11 over denominator 17 cross times 17 end fraction end root equals fraction numerator 3 cross times 11 over denominator 17 end fraction equals 33 over 17
    b)Let's simplify the value and find the root
    We get square root of fraction numerator 0.2116 over denominator 21.16 end fraction end root equals square root of fraction numerator 0.2116 over denominator 100 cross times 0.2116 end fraction end root equals square root of 1 over 100 end root equals 1 over 10
    c)Let's simplify the value and find the root
    We get, square root of 9 cross times 24 cross times 6 end root equals square root of left parenthesis 3 cross times 3 right parenthesis cross times left parenthesis 4 cross times 6 right parenthesis cross times 6 end root equals 3 cross times 6 cross times square root of 4 equals 3 cross times 6 cross times 2 equals 36

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