Question

Find the square root of the following decimal numbers.​

Answer 1

1.6

4.3

8.3

9.2

Explanation:

Hope it is helpful....

Answer 2

`\huge \boxed{ \tt i)1.6} \\ \huge \boxed{ \tt ii)4.3} \\ \huge \boxed{ \tt iii)8.3} \\ \huge \boxed{ \: \: \: \: \tt iv)9.2 \: \: \: }`

Explanation:

to understand this

you need to know about:

• square root
• finding square root by division method
• converting decimal to a fraction
• PEMDAS

tips and formulas:

tips for finding square root by division method

• Group the digits in pairs, starting with the digit in the units place
• Think of the largest number whose square is equal to or just less than the first period. Take this number as the divisor and also as the quotient.
• Subtract the product of the divisor and the quotient from the first period and bring down the next period to the right of the remainder.
• the new divisor is obtained by taking two times the quotient and annexing with it a suitable digit which is also taken as the next digit of the quotient, chosen in such a way that the product of the new divisor and this digit is equal to or just less than the new dividend.
• Repeat steps till all the periods have been taken up

tips for converting decimal to a fraction

• Write down the decimal divided by 1
• Multiply both top and bottom by 10 for every number after the decimal point
• reduce the fraction

let's solve:

solve the square roots using division method:

the picture is attached

solve the square roots by converting decimals into fraction:

`\tt i) √(2.56) \\ \tt \sqrt{ (256)/(100) } \\ \tt \sqrt{ \frac{1 {6}^(2) }{ {10}^(2) } } \\ \tt(16)/(10) \\ \tt \: 1.6`

`\tt ii) √(18.49) \\ \tt \sqrt{ (1849)/(100) } \\ \tt\sqrt{ \frac{ {43}^(2) }{ {10}^(2) } } \\ \tt (43)/(10) \\ \tt 4.3`

`\tt iii) √( 68.89) \\ \tt \sqrt{ (6889)/(100) } \\ \tt \sqrt{ \frac{ {83}^(2) }{ {10}^(2) } } \\ \tt (83)/(10) \\ \tt 8.3`

`\tt iv) √(84.64) \\ \tt\sqrt{ (8464)/(100) } \\ \tt\sqrt{ \frac{ {92}^(2) }{ {10}^(2) } } \\ \tt (92)/(10) \\ \tt9.2`