Question

1. Rationalise the denominator
root75/root18​

Answer 1

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TO RATIONALIZE THE DOMINATOR THIS MEANS THAT WE NEED TO MAKE A RATIONAL NUMBR IN THE

DENOMINATOR .

SOLUTION -

WE NEED TO RATIONALIZE DENOMINATOR OF

√75/√18

FOR THIS FIRST WE NEED TO CONVERT THIS NUMBERS

INTO SIMPLER FORM

THAT IS

√75 = 5√3

AND √18 = 3√2

NOW PUTTING THIS VALUE INSTEAD OF √75 AND √18

WE HAVE

5√3 / 3√2

NOW WE NEED TO RATIONALIZE THE DENOMINATOR

FOR THIS WE CAN MULTIPLY

5√3 / 3√2 BY 3√2 / 3√2

THAT IS EQUAL TO

5√3 × 3√2 / (3 √2)^2

THAT IS EQUAL TO

15√6 / 18

HENCE THE REQUIRED RATIONALIZED FORM IS

15√6 / 18

Answer 2

Answer:

To rationalize a denominator, you need to find a quantity that, when multiplied by the denominator, will create a rational number (no radical terms) in the denominator. When the denominator contains a single term, as in , multiplying the fraction by will remove the radical from the denominator.