Math, asked by debasisdas91208, 3 months ago

Find the value of √405/√1445​

Answers

Answered by amitnrw
1

Given : √405/√1445​

To Find : value of √405/√1445​

Solution:

√405/√1445​

405 = 3 x 3 x 3 x 3 x 5

=> 405 = 3² x 3² x 5

=> √405 = 3 x 3 √5

=> √405 = 9√5

1445 = 5 x 17 x 17

=> 1445 = 5 x 17²

=> √1445 = 17√5

√405/√1445​

= 9√5 /  17√5

= 9/17

√405/√1445​ = 9/17

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