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Finding the square and square root of a number

Grade 10 Math: Master Essential Skills & Concepts

WA10.1

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Conversions between metric and imperial systems

Metric to Imperial Conversions

Imperial to Metric Conversions

Conversions Between Metric and Imperial Systems Speed KM to MI

Conversions Between Metric and Imperial Systems Speed  MI to M

Metric-Imperial Length Conversion Inch To Cm

Metric-Imperial Length Conversion MM/CM/M/KM To FT

Metric-Imperial Length Conversion MM/CM/M/KM To MI

Metric systems

Add and Subtract Mixed Units

Metric Length Conversion

Add or Subtract Different Metric Units Convert to CM

Add or Subtract Different Metric Units Convert to M

Add or Subtract Different Metric Units Convert to MM

Imperial systems

Imperial Length Conversion

Conversions involving squares and cubic

Imperial to Metric Conversions — Squares and Cubes

Imperial Conversion — Squares and Cubes

Metric to Imperial Conversion — Squares and Cubes

Metric Area Conversion FT to CM

Metric Area Conversion Foot to Inch

Metric Area Conversion M/CM to Inch

WA10.10

Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)

Find the difference of squares

Evaluating polynomials

Using algebra tiles to factor polynomials

Applications of polynomials

Common factors of polynomials

WA10.11

Solving polynomial equations

Word problems of polynomials

Factoring polynomials by grouping

Solving polynomials with unknown coefficients

Solving polynomials with unknown constant terms

WA10.2

Upper and lower bound

Upper and Lower Bound

WA10.3

Surface area and volume of prisms

Surface area and volume of pyramids

Surface area and volume of cylinders

Surface area and volume of cones

Surface area and volume of spheres

WA10.4

Understanding the number systems

Prime factorization

Number properties: Prime or Composite

Number properties: Prime?

Prime factors – Word Problem

Greatest common factors (GCF)

Greatest Common Factor 2 Numbers

Greatest Common Factor 2 Numbers – Word Problem

Least common multiple (LCM)

Lowest Common Multiple - 2 Numbers – Word Problem

Lowest Common Multiple 2 Numbers

Rational vs. Irrational numbers

WA10.5

Evaluating and simplifying radicals

Converting repeating decimals to fractions

Square and square roots

Square Root of a Perfect Square

Cubic and cube roots

Cube root of a perfect cube

Converting radicals to mixed radicals

WA10.6

Product rule of exponents

Converting radicals to entire radicals

Adding and subtracting radicals

Adding radicals

Subtracting radicals

Multiplying and dividing radicals

Dividing radicals

Multiplying radicals

Rationalize the denominator

WA10.7

Quotient rule of exponents

Power of a product rule

Power of a quotient rule

Power of a power rule

Simplify the power

Solving for exponents

WA10.8

Negative exponent rule

Combining the exponent rules

Scientific notation

Convert between radicals and rational exponents

What is a polynomial?

Classifying Polynomials

WA10.9

Polynomial components

Multiplying monomial by monomial

Multiply a Monomial by a Monomial

Multiplying monomial by binomial

Multiplying binomial by binomial

Multiplying polynomial by polynomial

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Workplace and Apprenticeship Mathematics 10

Number Sense, Logical Thinking, Mathematics as a Human Endeavour

math

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Ex. 1:

Ex. 2:

- Hi, welcome to this question here. We're here trying to find out the root of 64. If you have a calculator, of course you can always just punch in it and get the answer. But let's say what if you don't. Now, if you do remember your perfect squared numbers, the root of 64 is just eight. Because, eight times eight does give you 64. But let's say you don't remember any perfect numbers, how do we do this from scratch? 
What you do is you find out all the prime factors of 64. So, let's go ahead and do that. There's a two right here and that's a 32, and divided by two I get a 16, divided by two which is just eight, divided by two goes four and here's my two and two, okay? 
So, imagine that the question now becomes two times the two times the two times the two times the two and I believe there's six times here. So, the real 64 is now just square root of two, two, two, two, two, two, all multiplied together, okay? 
So, how do we figure this out? Now, do you remember this is just a square root? There is actually a tiny little two here, that means the square root, right? The trick is you can pick any pair because you can only pick two, because it's a square root. That little number right here means that you can pick two identical numbers and just bring them out of the radical side. So, you can pick another one, you can pick another one. This one comes out, this one comes out and this one comes out so, the answer is just going to be a two here from the first one, and a two here from the second one, and a two here from the third one. The answer is just going to be two times two is four, four times two is eight. Which is exactly the same as what you have on the beginning, okay? 
So, this is the most, I guess, all the work that you can show for your homework. But if you do know the perfect square numbers, it'll be much easier, okay? 
Thanks for watching.

To square is to raise the number to the second power. In other words, to square is to multiply the number by itself. Square root is the inverse operation of squaring. To square root is to find the two identical factors of a number.

Squares and Square Roots

Squares and square roots

Estimating square roots