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lilavasa [31]
3 years ago
12

Simplify the radical expression by rationalizing the denominator.9 square root of 25 divided by the square root of 50

Mathematics
2 answers:
iVinArrow [24]3 years ago
8 0

Answer:

radical form of the fraction is \frac{9\sqrt{2} }{2}

Step-by-step explanation:

We have to simplify the radical expression by rationalizing the denominator.

Given fraction is \frac{9\sqrt{25} }{\sqrt{50} }

we will simplify the numeration and denominator of the given fraction.

Numerator 9\sqrt{25}=(9)(5)=45

Denominator \sqrt{50}=\sqrt{(25)(2)}=(\sqrt{2})(\sqrt{25})

= 5\sqrt{2}

Now the fraction is \frac{45}{5\sqrt{2} } =\frac{9}{\sqrt{2} }

Now for radical expression we will multiply with \sqrt{2} with numerator as well as denominator both

(\frac{9}{\sqrt{2} })(\frac{\sqrt{2} }{\sqrt{2} })=\frac{9\sqrt{2} }{2}

Therefore, radical form of the fraction is \frac{9\sqrt{2} }{2}

Crank3 years ago
4 0
(9√25) /√50 = 9*5/√50 now simplify the denominator. √50=√25*√2=5√2
so (9*5)/(5√2) simplifies to 9/√2. To rationalize the denominator multiply both the numerator and the denominator by √2.
9√2/(√2*√2) = 9√2/2

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