# 8.1.8. Operations on Square Roots

Find the value of if and .

• A 0
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• D
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Express in its simplest form.

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If and , find the value of .

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If and are integers, write in the form of while taking the least possible value of .

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If and are integers, write in the form of while taking the least possible value of .

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If and are integers, write in the form of while taking the least possible value of .

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Express in its simplest form.

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Express in its simplest form.

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• C 60
• D 360
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Express in its simplest form.

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• B 15
• C 90
• D
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Express in its simplest form.

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Express in its simplest form.

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• D 0
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Find the value of if and .

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Given that and are integers, rewrite in the form of using the least possible value of .

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Find the conjugate of and their product.

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Write such that the denominator is a rational number.

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Given that and , simplify both and such that the denominator is a rational number then find .

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State the conjugate of the number then find their product.

• A, 255
• B, 126
• C, 249
• D, 249
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Write such that the denominator is a rational number.

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Write such that the denominator is a rational number.

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The conjugate of is and their product is .

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The conjugate of is and their product is .

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Given that and , find .

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Given that and , find .

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Given that and , find .

• A 8
• B
• C 56
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If and , find .

• A 24
• B 168
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If and , find .

• A 24
• B 8
• C 48
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If and , find .

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• B 56
• C 8
• D 28
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Find the multiplicative inverse of .

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Find the multiplicative inverse of in its simplest form.

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If and , find .

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Express in its simplest form.

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If , find the value of in its simplest form.

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If , find the value of in its simplest form.

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If and , find .

• A 5
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• D 7
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If and , find .

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Complete the pattern .

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