Question

The simplest R.F of √147 is
A)√3
B)√5
C)√7
D)√11
pleaser answer fatst

Answer 1

Answer:

d is the answer

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Answer 2

Given,

The given number is = √147

To find,

The simplest rationalising factor of the given number.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

According to the mathematical definition, if the product of two surds (or, irrational number) produces a rational number, then those surds (or, irrational number) will be rationalising factor of each other.

First of all, we have to simplify the given number.

So,

Simplification of the given number :

= √147

= √(3×7×7)

= 7√3

Now, √3 is the surd which needs to be rationalised. For that, we can multiply √3 by itself. (√3 is simplest possible choice here, for the rationalisation)

Because,

= √3 × √3

= 3

= Rational number

Similarly,

= √147 × √3

= √441

= 21

= Also a rational number

Hence, √3 will be the simplest rationalising factor of √147 (option A)