Question

rationalize the denominator of root 75 by root 18

Answer 1

HEY MATE HERE IS UR ANSWER

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


HOPE ITS HELPFUL IF YES PLEASE MARK AS BRAINLIEST IIIIIII

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Answer 2

$15\sqrt{6} .$

• When the provided fraction has a radical term or a surd in the denominator, we rationalise the denominator in mathematics. Square root and cube root are two examples of these radical words. The numerator and denominator of a mathematical statement containing two terms must both be multiplied by the conjugate of the denominator if the denominator contains a radical. Rationalization is the name of this technique.
• In order to make the denominator a whole number, the radical term (such as the square root or cube root) is moved from the denominator to the numerator. Finding the sum or difference of given fractions becomes simple when the denominator is rationalised.

Here, according to the given information, we are given that,

$\frac{\sqrt{75} }{\sqrt{18} }$

Now multiplying the denominator and numerator by $\sqrt{18}$, we get,

$\frac{\sqrt{75}.\sqrt{18} }{\sqrt{18} .\sqrt{18}}=\frac{\sqrt{75}.\sqrt{18} }{1} = 15\sqrt{6}.$

Hence, after rationalizing the denominator, we get, $15\sqrt{6} .$

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