Question

how to find out the square root of 294 by prime factorization method​

Answer 1

Step-by-step explanation:

take factors of 294

294=2*3*7*7

as 2 and 3 do not form a pair, 294 is not a perfect square

we need to multiply 294 by 2*3 = 6 to make it a perfect square

Answer 2

Answer:

square root of 294 is

$7 \sqrt{6}$

Step-by-step explanation:

firstly, we can find factors of 294 by prime factorization method as:

firstly, we can find factors of 294 by prime factorization method as:2|294

firstly, we can find factors of 294 by prime factorization method as:2|2943|147

firstly, we can find factors of 294 by prime factorization method as:2|2943|1477|49

firstly, we can find factors of 294 by prime factorization method as:2|2943|1477|497|7

firstly, we can find factors of 294 by prime factorization method as:2|2943|1477|497|7□|1

firstly, we can find factors of 294 by prime factorization method as:2|2943|1477|497|7□|1 so,294=2×3×7×7

now, the numbers with pairs of two can be written only once and if the numbers are not in pair then we write them in square root and myltiply.

here 7 has a pair of two so we write 7 only one time and 2 and 3 are not in pair so we write them in square root as.

$7 \sqrt{2 \times 3} = 7 \sqrt{6}$

thus, square root of 294 is

$7 \sqrt{6}$

hope this helps. you

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