Math, asked by shreyashatale321, 7 months ago

simpify √ √30 √21 / √30 √21​

Answers

Answered by TrishaNikhilJaiswal
1

Answer:

x=√12+x. Then ... 1⇒ ⎷72 +√72+√72+√72+√72.... Solution→9. 2⇒ ⎷30+√30+√30+√30+√30.

Step-by-step explanation:

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Answered by rashipriyasingh66
0

Answer:

There is a really interesting math trick behind it.

If you see a question like this take out the number inside it (in this case is

12

)

Take consecutive numbers such as:

n

(

n

+

1

)

=

12

Always remember that the answer is

n

+

1

This is true because if you let the infinite nested radical function = x then realise that x is also also under the first root sign as:

x

=

12

+

x

Then, squaring both sides:

x

2

=

12

+

x

Or:

x

2

x

=

12

x

(

x

1

)

=

12

Now let

x

=

n

+

1

Then

n

(

n

+

1

)

=

12

With the answer to the infinite nested radical function (x) being equal to

n

+

1

If you solve it you get

n

=

3

and

n

+

1

=

4

So,

The answer is

4

Practice problems:

1

72

+

72

+

72

+

72

+

72

...

.

S

o

l

u

t

i

o

n

9

2

30

+

30

+

30

+

30

+

30

...

.

S

o

l

u

t

i

o

n

6

And wait!!!

If you see a question like

72

72

72

72

72

...

.

n

is the solution (in this case is

8

)

Problems to solve on your own

1056

+

1056

+

1056

+

1056

+

1056

...

.

110

+

110

+

110

+

110

+

110

...

.

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