![]() ![]() So let's rewrite this a little bit to see what we can do. ![]() And then 14's not a perfect square, seven isn't a perfect square but seven times seven is. ![]() Especially because, from a variable point of view you can view this as a But when you're trying to factor out perfect squares, it's actually easier if it's in this factored form here. And we could've said, seven times 14 is what 98. And the reason why Iĭidn't multiply it out. ![]() Actually let me extend my radical sign a little bit. Seven times x and then let me actually factor 14. So six times the square root of and I'll actually I'll just leave it like this. And so this is going to be equal to six times and then the product of two radicals, you can view that as the This is going to be the same thing as two times three times the square root of seven x times the square root of 14 x squared. So, we can change the order of multiplication. Well, let's first just multiply this thing. Taking any perfect squares out multiplying and taking any perfect squares out of the radical sign. So let's say I have two times the square root of seven x times three times the square root of 14 x squared. FOIL or use extended distribution on the right side to eliminate the exponentsĩ) Check answer back in original equation to verify that it isn't an extraneous solution. The link above keeps them both on the same side.Ģ) Square both sides: ^2 = ^2ģ) Simplify left side. I'll get you started on your equation: √(x+15) + √(x) = 15ġ) I would move one radical to the other side. You have a radical equation, not a radical expression.įor a problem more like yours, I would suggest you look at the 2nd problem at this link: First, you are in the wrong section of lessons. ![]()
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