Well, honey, radical 14 times radical 2 is just radical 28. It's like multiplying two annoying siblings who always want attention - they combine to become one big radical mess. So, there you have it, radical 28 is the result of that math family reunion.
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radical(14)*radical(2) = 2*radical(7)
Without further information available we will consider only the square roots. The square roots of 14 are +3.741 and -3.741, similarly the square roots of 2 are+1.414 and -1.414 and so we can have four products
1) (+3.741) X (+1.414) = +5.155
2) (-3.741) x (+1.414) = -5.155
3) (+3.741) x (-1.414) = -5.155
4) (-3.741) x (-1.414) = +5.155
Expressions 1 and 4 are equal, expressions 2 and 3 are equal. Hence the product of radical 14 times radical 2 can be +5.155 or -5.155
√2 x √2 = (√2)2 = 2
2 square root of 14
The square root of 28 or in this case the radical form of 28 will be 2 times radical 7. Since 28 is 4 times 7 and the square root of 4 is two.
When you multiply 6√2 by √2, you can simplify the expression by multiplying the numbers outside the radicals and multiplying the numbers inside the radicals. This results in 6√2 * √2 = 6 * 2 = 12. Therefore, the answer is 12.
-3*radical(2)*radical(50) = -3*radical(2*50) = -3*radical(100) = -3*10 = -30