Question

How
many
numbers are there between the
Square
of Consecutive numbers
14 and 15​

Answer 1

• 28

Step-by-step explanation:

• 14² = 196
• 15² = 225

Number between 225 and 196 are:

$\\{ \sf 196 \: \: \: \underbrace{ \gray{\bf197 \: 198 \: 199 \: 200 \: 201 \: 202 \: 203 \: 204 \: 205 \: 206 \: 207 \: 208 \: 209 \: 210 \: 211 \: 212 \: 213 \: 214 \: 215 \: 216 \: 217 \: 218 \: 219 \: 220 \: 221 \: 222 \: 223 \: 224} } \: \: \: \sf225} \\ \pink{\bf 28}$

• 28 Numbers lies between the Square of Consecutive numbers 14 and 15.

____________________

Alternative Method:

• The Number lies between a and b (where b>a)

It can given as (b-a-1)

14²=196

15²=225

Then

• a= 196
• b=225

$~~~~~\sf{\implies b-a-1}$

$~~~~~\sf{\implies 225-196-1}$

$~~~~~\sf{\implies 29-1}$

$~~~~~\bf{\implies 28}$

• 28 Numbers lies between the Square of Consecutive numbers 14 and 15.

Answer 2

Answer:

28.

Step-by-step explanation:

$14 ^{2} = 196$

$15 ^{2} = 225$

Number between 196 and 225 are :

196

= 197 , 198 , 199 , 200 , 201 , 202 , 203 , 204 ,205 , 206 , 207 , 208 , 209 , 210 211 , 212 , 213 , 214 , 215 , 217 , 218 , 219 , 220 , 221 , 222 ,223 , 224

225.

28 numbers between the Square of consecutive numbers 14 and 15.

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