Question

Find the cube root of 2197 without using prime factorization​

Answer 1

Answer:

13 its right answer of this question

Answer 2

$\umderline { \pink { Finding \:cube\:root \:by \: estimation \: method :}}</p><p>[tex] Given \:number \:2197$

Step 1:

Start making groups of three digits starting from the unit palce.

i.e , Second group : 1 ,

First group : ( 197 )

Step 2:

First group i.e 197 will give us the units digit of the cube root .

As 197 ends with 7 ,it's cube root ends with 3.

So, the unit place of the cube root will be 3 .

Step 3:

Now, take second group i.e. 2.

We know that 1³ < 2 < 2³

As the smallest number is 1 , it becomes the ten's place of the required cube root .

Therefore.,

$\red { \sqrt[3]{2197} } \green { = 13 }$

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