help with square root problems???
\[\sqrt{9y-196}+ \sqrt{196}=\sqrt{49}\]
one may note that \(\bf 14^2 = 196\\ 7^2 = 49\)
i know, so far i have \[\sqrt{9y-196} =-7\] i just dont know what to do from here
raise both sides to the 2nd power
\(\bf (\sqrt{9y-196})^2 =(-7)^2\)
9y-196=49?
yes
so 245/9 is the answer?
yes
i just checked it and its not right
hmm is this correct =>\(\bf \sqrt{9y-196}+ \sqrt{196}=\sqrt{49}\ \ \ ?\)
yes
\[\sqrt{9y+196}+14=7 \implies \sqrt{9y+196}=-7\] square both sides
i figured it out the answer is 49/3
i mean \[\sqrt{9y-196}=-7\] \[(\sqrt{9y-196})^2=(-7)^2\]
but maybe you could help with this one?\[\sqrt{x}(\sqrt{9}-\frac{ 4 }{ 3}=\sqrt{25}\]
theres supposed to be a closed parenthesis after 4/3
\(\bf \sqrt{x}\left(\sqrt{9}-\cfrac{ 4 }{ 3}\right)=\sqrt{25}\)
yes
\[\sqrt{x}(\sqrt{9}-\frac{4}{3})=\sqrt{25}\] \[\text{since }\sqrt{9}=3,\sqrt{25}=5\] \[\sqrt{x}(3-\frac{4}{3})=5\] \[\sqrt{x}(\frac{5}{3})=5\] you can take it from here
\(\bf \sqrt{x}\left(\sqrt{9}-\cfrac{ 4 }{ 3}\right)=\sqrt{25} \implies \sqrt{x} = \cfrac{\sqrt{25}}{\left(\sqrt{9}-\cfrac{ 4 }{ 3}\right)} \implies \sqrt{x} = \cfrac{\sqrt{25}}{\left(3-\cfrac{ 4 }{ 3}\right)}\)
thank you so much!
I still can't see the 49/3 as the solution to the first one!
nor do I
unless there's a typo
\[\sqrt{x}=5\frac{3}{5}\] \[\sqrt x=3,x=9\]
its a little complicated since \[\sqrt{9y-196}=-7\] you have to square both sides,\[-(7^2)=-49\] so, 9y-196=-49 9y=147 y=49/3
lets take it from here \[\sqrt{9y-196}=-7\] \[9y-196=49\] \[9y=245,y=\frac{245}{9}\]
i checked it and it works out 245/9 doesnt
no when you square a negetive you always get positive \[(-a)^2=a^2\]
so \[(-7)^2=7^2=49\]
unless its-(7^2), i always learned that way too, but i mean if 49/3 works im just going to keep it. im guessing they wanted to keep the negative
but if you go back to you equation and plug y-49/3 theres a negetive value in the square root!!!!!!!!!!!!!!!!!1problem
if i get it worng then oh well, its just a homework question
can you just recheck the way youtyped it in correctly
i did it like 5 times haha im okay with it if i get one question wrong ha
but would you want to help me with one more? you dont have to, if you dont want to
\[\sqrt{135b^2c^3d}\times \sqrt{5b^2d}\] all the exponents are confusing me
write evrything under the root seperatly ie \[\sqrt{abcd}=\sqrt{a}\sqrt{b}\sqrt{c}\sqrt{d}\]
okay, before multiplying the two?
\[\sqrt{135}\sqrt{b^2}\sqrt{c^3}\sqrt{d}\sqrt{5}\sqrt{b^2}\sqrt{d}\]
yes now remember \[\sqrt{b^2}=b\] use this
right do what do i do about the c^3
right so**
leave alone but multiply like terms it \[\sqrt{d}\times\sqrt{d}=d\] \[\sqrt{135}\times\sqrt{5}=\sqrt{135\times 5}=\sqrt{675}\]
so i have \[\sqrt{675} \times b^2 \times \sqrt{c^3} \times d\]
is that the answer?
yes your a star
thank you!!
yw
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