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Find the rationalizing factor of (root2+root3+root7)?
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Find the rationalizing factor of (root2+root3+root7)?


Rationalizing Factor of (root2+root3+root7)

When we have an expression with multiple square roots, we can rationalize it by multiplying the expression by a suitable factor to eliminate the radicals in the denominator.

Factors to Consider:

  • First, let's consider the rationalizing factor for each individual square root:

    • For root 2: The rationalizing factor is multiplying by root 2 itself, which gives us 2.
    • For root 3: The rationalizing factor is multiplying by root 3 itself, which gives us 3.
    • For root 7: The rationalizing factor is multiplying by root 7 itself, which gives us 7.



Rationalizing Factor for the Entire Expression:

  • Now, to rationalize the entire expression (root 2 + root 3 + root 7), we need to multiply it by a combination of these individual factors:

    • The rationalizing factor for the entire expression would be 2 x 3 x 7 = 42.
    • So, multiplying the expression by 42 will eliminate all the square roots in the denominator.



Therefore, the rationalizing factor of (root 2 + root 3 + root 7) is 42. This will help simplify the expression and make it easier to work with in calculations.


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Find the rationalizing factor of (root2+root3+root7)?
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