How do you rationalize the denominator and simplify $sqrt(49/10)$ ?

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Answer 1 · 2016-04-06T03:03:43

$(7sqrt10)/10$

$color(blue)(sqrt(49/10)$

Remember $color(brown)(sqrt(x/y)=sqrtx/sqrty$

So,

$rarrsqrt(49/10)=sqrt49/sqrt10$

$rarr7/sqrt10$

But wait!,In mathematics generally:

The denominators of fraction are not irrational numbers (the

numbers that cannot be expressed in the form $x/y$ ). So,we need to

rationalize the denominator.

So,

Multiply the whole fraction with

$rarr7/sqrt10*sqrt10/sqrt10$

$color(green)(rArr=(7sqrt10)/10$

How do you rationalize the denominator and simplify sqrt(49/10)sqrt(49/10)?