is √(18x^7y^6) equal to 3 x superscript 5 baseline y superscript 4 baseline start root 2 end root
Yes, √(18x^7y^6) is equal to 3x^5y^4√2.
What is the simplest form of the expression?
square root 3 – square root 6 over square root 3 + square root 6
To simplify the expression, we can use the rationalizing method.
First, multiply the numerator and denominator of the expression by the conjugate of the denominator:
(√3 - √6)(√3 + √6)
Using the distributive property, the numerator becomes:
(√3)(√3) + (√3)(√6) - (√6)(√3) - (√6)(√6)
Simplifying further:
3 + √18 - √18 - 6
The √18 and -√18 terms cancel each other out, so the expression is simplified to:
3 - 6
Final answer:
-3