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Mathematics 25 Online
OpenStudy (anonymous):

radical expression simplfy

OpenStudy (anonymous):

\[\sqrt{14q}* 2\sqrt{4q}\]

OpenStudy (lgbasallote):

factor out sqrt (14q) and sqrt (4q) individually first. im sure youll get some idea after

OpenStudy (anonymous):

any factors

OpenStudy (lgbasallote):

hmmm let's start with sqrt (4q)...it's equal to sqrt (4) times sqrt (q) what do you notice?

OpenStudy (anonymous):

2 and 2

OpenStudy (lgbasallote):

hmm good observation..so it's 2^2 right? sqrt (2^2) = 2 yes? so it's sqrt (14q) + 2(2)(sqrt q) you can factor out sqrt q here... sqrt q (sqrt 14 + 4)

OpenStudy (anonymous):

@lgbasallote 4q sqrt14q

OpenStudy (anonymous):

sqrt14 w/o q

OpenStudy (lgbasallote):

oh wait it's multiplication o.O

OpenStudy (anonymous):

so is it 3 sqrt56q^2

OpenStudy (anonymous):

or is it a 2

OpenStudy (lgbasallote):

lemme repeat that 2 (sqrt 4q) = 4 sq (q) 4 sq (q) times sqrt 14 q = 4 sqrt (14q^2) = 4q sqrt 14

OpenStudy (anonymous):

can u simplify sqrt 144 i put 12 it was wrong

OpenStudy (lgbasallote):

sqrt 144 = 12

OpenStudy (anonymous):

\[-2 \sqrt{2p}*2\sqrt{22}\]

OpenStudy (anonymous):

Whats this

OpenStudy (phi):

Starting with \[ \sqrt{144q}\cdot 2\sqrt{4q} \] Look for perfect squares (if you know your times table up to 12 times 12, then you know 12^2 = 144 and 2^2= 4) Take the square root of the perfect squares. We get \[ 12\cdot 2 \cdot 2\cdot \sqrt{q}\cdot \sqrt{q} \] Of course \( \sqrt{q} \cdot \sqrt{q} = q \) and the simplified expression is 48q

OpenStudy (anonymous):

where u get 144 that was another question

OpenStudy (anonymous):

@phi where u get 144 that was another question

OpenStudy (phi):

If the problem is \[ \sqrt{14q}\cdot 2\sqrt{4q} \] then you get \[ 2\cdot 2 \cdot \sqrt{14}\cdot \sqrt{q}\cdot \sqrt{q} \] which simplifies to \[ 4q\sqrt{14} \]

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