In this worksheet, we will practice adding and subtracting square roots and practice using that to simplify expressions.
Q1:
Simplify −2+√6+8−√6.
Q2:
Simplify −7−√7+6+4√7.
Q3:
Given that 𝑎=6−7√3 and 𝑏=−7−7√3, find the value of 𝑎+𝑏.
Q4:
Given that 𝑎=√2+9 and 𝑏=√2−9, find the value of 𝑎−𝑏.
Q5:
Simplify √123+√123+√123.
Q6:
Simplify 12√5+3√5.
Q7:
Write √8+√2 in the form 𝑎√2, where 𝑎 is an integer.
Q8:
Simplify √12−2√3+4√27.
Q9:
Given that 9√8+10√50=𝑥√2, find the value of 𝑥.
Q10:
Express √75+√28−√27 in its simplest form.
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