Question

find the smallest number by which it should be multiplied to get a perfect square . find the square root of the perfect squares 11045 so obtained

Answer 1

Answer: Answer:

a) number to be multiplied =5 ,resulting square root = 235

b)number to be multiplied = 6,resulting square root = 258

Step-by-step explanation:

a ) prime factorising the  number, 11045 = 5×47×47;

that is 11045 = 5 × 47²

if we mutiply another 5 it becomes , 11045 × 5 = 5² ×47²

that is we should multiply 5.

the perfect square will be a 55225

hence √(11045×5) = √55225 = √(5² ×47²)

                                               = 5×47

                                               = 235.

b) prime factorising  the number 11094 = 2×3×43×43;

that is  11094 = 2 × 3 × 43²

if we mutiply another 2 and 3 it becomes , 11094 × 2 × 3 = 2×2×3×3 ×43²

                                                                                            = 2²×3²×43²

that is we should multiply 2 × 3 = 6.

the perfect square will be 66564 .

hence √(11094 ×2×3) = √(2²×3² ×43²)

                                  =     2×3×43 =

                                  =     258.

Step-by-step explanation:

Answer 2

Answer:

number to be multiplied= 5 , resulting square root = 235

Step-by-step explanation:

prime factorisation of 11045=5×47×47;i.e11045=5×47²

if we multiply another 5 it becomes, 11045×5 = 5²× 47²

Which is a perfect square

Now, √11045= 5×47 = 235