radical expression simplfy
\[\sqrt{14q}* 2\sqrt{4q}\]
factor out sqrt (14q) and sqrt (4q) individually first. im sure youll get some idea after
any factors
hmmm let's start with sqrt (4q)...it's equal to sqrt (4) times sqrt (q) what do you notice?
2 and 2
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)
@lgbasallote 4q sqrt14q
sqrt14 w/o q
oh wait it's multiplication o.O
so is it 3 sqrt56q^2
or is it a 2
lemme repeat that 2 (sqrt 4q) = 4 sq (q) 4 sq (q) times sqrt 14 q = 4 sqrt (14q^2) = 4q sqrt 14
can u simplify sqrt 144 i put 12 it was wrong
sqrt 144 = 12
\[-2 \sqrt{2p}*2\sqrt{22}\]
Whats this
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
where u get 144 that was another question
@phi where u get 144 that was another question
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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