  # Thursday Tutoring: Understanding Radicals in Math and Spirituality

Date
March 9, 2023
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Mathematics is an essential subject that teaches us to think critically and solve problems systematically. One of the fundamental concepts in math is the idea of radicals. Radicals can be challenging to understand, especially when it comes to adding and subtracting them versus multiplying and dividing them. However, by applying this concept to spirituality, we can see how this mathematical concept can provide us with a deeper understanding of our connection to the universe.

In math, radicals are a way of expressing roots. When we take the square root of a number, we're asking ourselves, "what number times itself equals the original number?" For example, the square root of 16 is four because four times four equals 16. The square root symbol, √, is a radical sign that indicates we're taking the root of a number.

When adding and subtracting radicals, we need to ensure that we're only combining like terms. For example, we can add together √3 + √3 to get 2√3. However, we cannot add √2 + √3 together since they are not like terms.

When multiplying and dividing radicals, we need to simplify them as much as possible. For example, we can simplify √2 x √3 to get √6. However, we can only simplify √2 x √2 + √3 to √4 + √3, which results is 2 + √3.

When we divide radicals, we have to utilize the conjugate. For √2 ÷ √5 we multiply both the numerator and denominator by the denominator. By doing this, we create a perfect square in the denominator, as we don’t want roots down there. We end up with (√2 x √5) ÷ (√5 x √5), which then simplifies into (√10) ÷ (√25), and further as √10 ÷ 5.

If there is an addition or subtraction in our denominator, we must use the conjugate of the opposite operation. For √2 ÷ (2 + √3), the conjugate multiplied against the numerator and denominator will be (2 - √3).