Question

One divided by root over 2025 +roots over 2024

Answer 1

Step-by-step explanation:

We could solve this by factoring:

2025

XXXXX

=

5

×

405

XXXXX

=

5

×

5

×

81

(maybe at this point we recognize

81

=

9

2

, but let's continue pretending we don't)

XXXXX

=

5

×

5

×

3

×

27

XXXXX

=

5

×

5

×

3

×

3

×

9

XXXXX

=

5

×

5

×

3

×

3

×

3

×

3

and we have completely factored the given value.

Group the factoring in pairs of equal value:

XXXXX

=

5

×

5

×

3

×

3

×

3

×

3

XXXXX

=

5

2

×

3

2

×

3

2

XXXXX

=

(

5

⋅

3

⋅

3

)

2

XXXXX

=

45

2

If

2025

=

45

2

then

XXXXX

√

2025

=

45