Find √ 14 and 1/16 \sq \sqrt{14 (1)/(16) } ​

Question

Find √ 14 and 1/16

`\sq \sqrt{14 (1)/(16) }`
​

Answer 1

`\mbox{\large (15)/(4)}`

Explanation:

Find
`\mbox{\large \sqrt{14\:(1)/(16)}}`

Convert
`\mbox{\large 14(1)/(16)}` to mixed fraction:

`\mbox{\large 14(1)/(16) = (14 * 16+ 1)/(16)} = (225)/(16)`

`\mbox{\large \sqrt{14\:(1)/(16)}} = \sqrt{(225)/(16)} = (√(225))/(√(16))`

`\mbox{\large √(225) = 15}`

`\mbox{\large √(16) = 4}}`

`\mbox{\large \sqrt{14\:(1)/(16)}} = (15)/(4)`