Question

square root of 2401 with prime factorisation

Answer 1

2401=343*7

=7*7*7*7

=(7*7)(7*7)

=7*7

=49

sqrt of 2401 is 49

Answer 2

Answer:

49

Step-by-step explanation:

Given : 2401

To Find : square root of 2401 with prime factorization

Solution:

7 |    2401

7 |     343

7 |       49

7 |        7

  |        1

Now $2401 = 7 \times 7 \times 7 \times 7$

$2401 = 7^2 \times 7^2$

$\sqrt{2401} = \sqrt{7^2 \times 7^2}$

$\sqrt{2401} = 7 \times 7$

[tex]\sqrt{2401} = 49[/tex]

Hence The square root of 2401 with prime factorization is 49.