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Substitution involving powers and roots

Substitution involving powers and roots.

  • Substitute first, putting negative numbers in brackets.
  • Evaluate powers and roots before multiplication, addition or subtraction.
  • , while . A square root symbol means the positive root or zero.

Example 1

Calculate when .

Substitute first. The brackets make the negative value part of the square.Evaluate the square and the positive square root before multiplying.

Example 2

Calculate when .

Substitute first. The brackets make the negative value part of the square.Evaluate the square and the positive square root before multiplying.

Your turn

Question 1

Calculate when .

Check answer
Substitute first. The brackets make the negative value part of the square.Evaluate the square and the positive square root before multiplying.
Question 2

Calculate when .

Check answer
Substitute first. The brackets make the negative value part of the square.Evaluate the square and the positive square root before multiplying.
Question 3

Calculate when .

Check answer
Substitute first. The brackets make the negative value part of the square.Evaluate the square and the positive square root before multiplying.
Question 4

Calculate when .

Check answer
Substitute first. The brackets make the negative value part of the square.Evaluate the square and the positive square root before multiplying.
Question 5

Calculate when .

Check answer
Substitute first. The brackets make the negative value part of the square.Evaluate the square and the positive square root before multiplying.
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