Math, asked by sauravkumar420786, 11 months ago

If root a multiple root b is equal to root a multiple b find root 3675 multiple root 2352

Answers

Answered by sapnakhemnani22
4

Answer:

55 5k5 5k56 6k , j3 j3 3eje j33b3v4 j33b3v4 4495g5v6v66jj66b6b7b7bb7 7 7b7bb88n

Answered by JeanaShupp
21

The required answer is 2940

Step-by-step explanation:

To find: √3675 x √2352 if √a x √b= √ab

Therefore

Prime factors of 3675 =3, 5, 5, 7, 7

Prime factors of 2352 =2, 2, 2, 2, 3, 7, 7

Therefore

\sqrt{3675} =\sqrt{3\times 5\times 5\times7\times 7 } =7\times 5\sqrt{3} =35\sqrt{3}

\sqrt{2352}=\sqrt{2\times 2\times 2\times 2\times 3\times 7\times 7} =7\times2\times 2\sqrt{3} =28\sqrt{3}

Now

√3675 x √2352

=35√3 x 28√3

now √a x √b =√ab

=35 x 28 √ (3 x 3)

=35 x 28 x 3

=2940

Hence the required answer is 2940

#Learn more

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