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Questions and Answers
What is the simplified form of √75𝑎𝑎 + 8√3 − 9√3𝑎𝑎?
What is the simplified form of √75𝑎𝑎 + 8√3 − 9√3𝑎𝑎?
- 8√3 − 9𝑎𝑎
- 8√3 − 4√3𝑎𝑎
- 8√3 − 9√3𝑎𝑎 (correct)
- 8√3 − 9𝑎
What does √𝟕𝟕𝟕 mean when simplified?
What does √𝟕𝟕𝟕 mean when simplified?
- 5√3 (correct)
- 5√7
- 25√3
- 35
What is the result of √25?
What is the result of √25?
- +5 (correct)
- 5 (correct)
- -5
- -25
Which rule allows you to combine surds like 5√3 and 8√3?
Which rule allows you to combine surds like 5√3 and 8√3?
In the expression √75𝑎𝑎 + 8√3 − 9√3𝑎𝑎, what does the term √75 represent?
In the expression √75𝑎𝑎 + 8√3 − 9√3𝑎𝑎, what does the term √75 represent?
What happens when you divide 16𝒂^2 𝒃^3 by 8𝒂 𝒃?
What happens when you divide 16𝒂^2 𝒃^3 by 8𝒂 𝒃?
After simplifying 5𝑐𝑐^8 / 4𝑐𝑐^2, what is the result?
After simplifying 5𝑐𝑐^8 / 4𝑐𝑐^2, what is the result?
What is the result of dividing 9𝑎^3 𝑏^3 by 9𝑎^4 𝑏^3?
What is the result of dividing 9𝑎^3 𝑏^3 by 9𝑎^4 𝑏^3?
Given the expression (6𝐱^4 𝐲^2) / (3𝐱 𝐲), what does it simplify to?
Given the expression (6𝐱^4 𝐲^2) / (3𝐱 𝐲), what does it simplify to?
When simplifying (12𝑎^3 𝑏) / (6𝑎^2), what is the result?
When simplifying (12𝑎^3 𝑏) / (6𝑎^2), what is the result?
If you divide (24𝐦^4) / (4𝐦), what is the simplified expression?
If you divide (24𝐦^4) / (4𝐦), what is the simplified expression?
What is the simplified form of $(x+3)^3 \times 8^2 \div (y+2)^7$?
What is the simplified form of $(x+3)^3 \times 8^2 \div (y+2)^7$?
In the expression $(a^2 - 81) \div (z^2 - 3z - 10)$, what is the simplest form?
In the expression $(a^2 - 81) \div (z^2 - 3z - 10)$, what is the simplest form?
What is the simplified result of $7x^2 imes y^{-9} imes z^2 \div (z+4)(y+2)^{14}$?
What is the simplified result of $7x^2 imes y^{-9} imes z^2 \div (z+4)(y+2)^{14}$?
In the expression $5(b-6) imes z^2 \div (z^2 - 16)(z+6)$, what is the simplest form?
In the expression $5(b-6) imes z^2 \div (z^2 - 16)(z+6)$, what is the simplest form?
What is the simplified form of $7x^{22} imes x^{-9}$?
What is the simplified form of $7x^{22} imes x^{-9}$?
Simplify the expression $x^{7} imes x^{-9} imes x$.
Simplify the expression $x^{7} imes x^{-9} imes x$.
Flashcards
Simplify: √75𝑎𝑎 + 8√3 − 9√3𝑎𝑎
Simplify: √75𝑎𝑎 + 8√3 − 9√3𝑎𝑎
The simplified form is 8√3 − 9√3𝑎𝑎.
Simplify: √75
Simplify: √75
√75 simplified equals to 5√3.
Evaluate: √25
Evaluate: √25
√25 equals +5.
Rule for combining 5√3 and 8√3
Rule for combining 5√3 and 8√3
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Simplify: √75𝑎𝑎
Simplify: √75𝑎𝑎
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Divide: 16𝑎^2 𝑏^3 / 8𝑎 𝑏
Divide: 16𝑎^2 𝑏^3 / 8𝑎 𝑏
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Simplify: 5𝑐𝑐^8 / 4𝑐𝑐^2
Simplify: 5𝑐𝑐^8 / 4𝑐𝑐^2
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Divide: 9𝑎^3 𝑏^3 / 9𝑎^4 𝑏^3
Divide: 9𝑎^3 𝑏^3 / 9𝑎^4 𝑏^3
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Simplify: (6𝐱^4 𝐲^2) / (3𝐱 𝐲)
Simplify: (6𝐱^4 𝐲^2) / (3𝐱 𝐲)
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Simplify: (12𝑎^3 𝑏) / (6𝑎^2)
Simplify: (12𝑎^3 𝑏) / (6𝑎^2)
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Simplify: (24𝑚^4) / (4𝑚)
Simplify: (24𝑚^4) / (4𝑚)
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Simplify $(x+3)^3
times 8^2
div (y+2)^7$
Simplify $(x+3)^3 times 8^2 div (y+2)^7$
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Simplify: $(a^2 - 81) / (z^2 - 3z - 10)$
Simplify: $(a^2 - 81) / (z^2 - 3z - 10)$
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Simplify: $7x^2 * y^{-9} * z^2 / ((z+4)(y+2)^{14})$
Simplify: $7x^2 * y^{-9} * z^2 / ((z+4)(y+2)^{14})$
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Simplify: $5(b-6) * z^2 / ((z^2 - 16)(z+6))$
Simplify: $5(b-6) * z^2 / ((z^2 - 16)(z+6))$
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Simplify: $7x^{22} * x^{-9}$
Simplify: $7x^{22} * x^{-9}$
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Simplify: $x^{7}*x^{-9} *x$
Simplify: $x^{7}*x^{-9} *x$
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Study Notes
Simplifying Expressions Involving Surds
- To simplify expressions involving surds, reduce all surds to their simplest form.
- Surds with the same value under the root can be added or subtracted.
Simplifying Surd Expressions
- To simplify surd expressions, follow these steps:
- Reduce all surds in the expression to their simplest form.
- Simplify the expression using rules of surds.
Simplifying Algebraic Fractions
- To simplify algebraic fractions, follow these steps:
- Cancel any common terms in the numerator and denominator.
- Use index laws to simplify the expression.
- Cancel any algebra (letter) terms from the numerator and denominator.
Multiplying Algebraic Fractions
- To multiply algebraic fractions, follow these steps:
- Multiply the numerators together.
- Multiply the denominators together.
Simplifying Expressions with Indices
- To simplify expressions with indices, follow these steps:
- Simplify the fractions by factorising expressions and dividing by any common terms.
- Multiply the numerators together and the denominators together.
Dividing Algebraic Fractions
- To divide algebraic fractions, follow these steps:
- Flip the second fraction and then multiply them together.
- Simplify the fractions by factorising any expressions which can be factorised.
- Divide out by any common terms to cancel them.
Studying That Suits You
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Description
Practice working out different types of questions involving surds and algebraic fractions with this worksheet. Each section includes a worked example, a question with hints, and practice questions for independent work. Visit the provided link for more resources.
