square root of 400 using prime factorization Solution Find the square root by prime factorisation method Given number 400 Factorisation 400 2 2 2 2 5 5 So the square root of 400 is 400 2 2 2 2 5 5 400 2 2 2 2 5 5 400 2 2 5 400 20 Hence the square root of 400 is 20 Suggest Corrections 20 Similar questions
Find the square root of 400 by prime factorisation method Standard VIII Mathematics Finding Square Root through Prime Factorisation Question Find the square root of 400 by prime factorisation method Solution Verified by Toppr 400 22 22 52 400 2 2 5 20 Was this answer helpful 0 Similar Questions Q 1 400 left 2 times 2 right times left 2 times 2 right times left 5 times 5 right Taking one prime number from each pair we get 2 times 2 times 5 Multiplying these numbers together we get 20 Hence 20 is the square root of 400 Note One may note that we have to break the number into its prime factors only and not in composite
square root of 400 using prime factorization
square root of 400 using prime factorization
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SQUARE ROOT OF 400 YouTube
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Sqrt 400 Simplified Root 20 Simplify sqrt 400 Factor 400 into its prime factors 400 24 52 To simplify a square root we extract factors which are squares i e The prime factorisation of 400 is 400 2 x 2 x 2 x 2 x 5 x 5 If we write in exponential form then 400 2 4 x 5 2 Or 400 2 2 x 2 2 x 5 2 Using laws of exponents Taking square root on both sides of the equation we get begin array l sqrt 400 sqrt 2 2 times 2 2 times 5 2 end array
The square root of 400 can be calculated using methods such as Prime Factorization or Long Division method or Repeated Subtraction Method Square Root of 400 by Repeated Subtraction Method Start from 400 and keep subtracting successive odd numbers till we obtain zero The total numbers we subtract is the square root of 400 400 1 399 To calculate the square root of 400 using prime factorization Step 1 Find the prime factorization of 400 400 2 x2x2 x2 x5 x5 Step 2 Group the prime factors in pairs 2 x2 x 2 x2 x 5 x5
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400 2 2 2 2 5 5 2 2 5 20 Question 6 625 Answer Decompose 625 into prime factors using synthetic division Usually Prime Factorization is used for perfect squares and the long division is used when the value of the square root is a decimal Square Root of 400 by Prime Factorization To find the square root of 400 by the prime factorization method we need to factorize the number 400 by lesser prime numbers
Steps of finding Square root by prime factorization method Step 1 Prime Factorization of given number Step 2 Pair the same prime factors Step 3 Collect one prime factor from each pair Step 4 Multiply the collected prime factors if only one pair ignore this step Step 5 Resultant number is the square root of the given number The prime factorization method is one of the simplest methods to find the square root of a number Find the prime factors of 400 The prime factor of 400 2 2 2 2 5 5 Group the same prime factor By grouping the same prime factor we get 2 4 5 2 Multiply the common prime factors 400 20
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square root of 400 using prime factorization - The square root of 400 can be calculated using methods such as Prime Factorization or Long Division method or Repeated Subtraction Method Square Root of 400 by Repeated Subtraction Method Start from 400 and keep subtracting successive odd numbers till we obtain zero The total numbers we subtract is the square root of 400 400 1 399