Tabbiejack
Solve the equation. Check your solution.
4= √h6
A. 10
B. 100
C. √10
D. 5



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ToniStark
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dw:1370237549168:dw

UnkleRhaukus
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dw:1370237614254:dw

Tabbiejack
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I got A is right

UnkleRhaukus
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check it;
is
\(4= \sqrt{10}6\) ?
\[10=\sqrt{10}\]
no.

UnkleRhaukus
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\[4= \sqrt{h}6\\4+6= \sqrt{h}\\10=\sqrt{h}\\10^2=h
\]

Tabbiejack
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ok so its d

UnkleRhaukus
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check
\[4= √56\\10=\sqrt5? \] no

Tabbiejack
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c?

Tabbiejack
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I dont get it

UnkleRhaukus
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lets start for the start.
\[4=\sqrt{h}6\]
add six to both sides
\[4+6=\sqrt{h}6+6\]
tell me what you get when simplifying this

Tabbiejack
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ok

UnkleRhaukus
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...

Tabbiejack
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idk this is awful c right

UnkleRhaukus
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\[4+6=\sqrt{h}6+6\]
simplify the term in the brackets
\[(4+6)=\sqrt{h}+(6+6)\]

Tabbiejack
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O ok 100

UnkleRhaukus
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what do you get when you simplify (4+6)?

Tabbiejack
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10

UnkleRhaukus
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right, what about (6+6) ?

Tabbiejack
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0

UnkleRhaukus
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GOOD
so you have
\[10=\sqrt{h}\]
Now
square both sides
\[10^2=\sqrt{h}^2\]
simplify this

Tabbiejack
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100

UnkleRhaukus
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yes the left hand side = 100, what about the right hand side?

Tabbiejack
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same

UnkleRhaukus
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\[\sqrt h^2=h\]

UnkleRhaukus
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so you have arrived at \[100=h\]
now lets check.
\[4= \sqrt{100}6\]
\[4=\sqrt{10^2}6\\4=106\]

Tabbiejack
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o ok that was confusing me....

Tabbiejack
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so its B

UnkleRhaukus
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yes,
because 4=4 is always true

Tabbiejack
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thanks so much!!